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Finding the Fourth Proportional to 404.71, 607.16 and 116.13

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Solution

The fourth proportional to 404.71, 607.16 and 116.13 is: 174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.71 : 607.16 = 116.13 : x
  2. Step 2: Convert to fraction form
    404.71/607.16 = 116.13/x
  3. Step 3: Cross multiply
    404.71x = 607.16 × 116.13
  4. Step 4: Simplify right side
    404.71x = 70,505.87
  5. Step 5: Solve for x
    x = 70,505.87/404.71
  6. Step 6: Final answer
    x = 174.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.