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Finding the Fourth Proportional to 684.80, 944.96 and 419.12

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Solution

The fourth proportional to 684.80, 944.96 and 419.12 is: 578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.80 : 944.96 = 419.12 : x
  2. Step 2: Convert to fraction form
    684.80/944.96 = 419.12/x
  3. Step 3: Cross multiply
    684.80x = 944.96 × 419.12
  4. Step 4: Simplify right side
    684.80x = 396,051.64
  5. Step 5: Solve for x
    x = 396,051.64/684.80
  6. Step 6: Final answer
    x = 578.35

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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.