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Finding the Fourth Proportional to 684.35, 944.07 and 497.75

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Solution

The fourth proportional to 684.35, 944.07 and 497.75 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.35 : 944.07 = 497.75 : x
  2. Step 2: Convert to fraction form
    684.35/944.07 = 497.75/x
  3. Step 3: Cross multiply
    684.35x = 944.07 × 497.75
  4. Step 4: Simplify right side
    684.35x = 469,910.84
  5. Step 5: Solve for x
    x = 469,910.84/684.35
  6. Step 6: Final answer
    x = 686.66

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Double scale
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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.