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Finding the Fourth Proportional to 424.13, 584.07 and 414.59

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Solution

The fourth proportional to 424.13, 584.07 and 414.59 is: 570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.13 : 584.07 = 414.59 : x
  2. Step 2: Convert to fraction form
    424.13/584.07 = 414.59/x
  3. Step 3: Cross multiply
    424.13x = 584.07 × 414.59
  4. Step 4: Simplify right side
    424.13x = 242,149.58
  5. Step 5: Solve for x
    x = 242,149.58/424.13
  6. Step 6: Final answer
    x = 570.93

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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.