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Finding the Fourth Proportional to 684.48, 944.76 and 419.01

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Solution

The fourth proportional to 684.48, 944.76 and 419.01 is: 578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.48 : 944.76 = 419.01 : x
  2. Step 2: Convert to fraction form
    684.48/944.76 = 419.01/x
  3. Step 3: Cross multiply
    684.48x = 944.76 × 419.01
  4. Step 4: Simplify right side
    684.48x = 395,863.89
  5. Step 5: Solve for x
    x = 395,863.89/684.48
  6. Step 6: Final answer
    x = 578.34

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.