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Finding the Fourth Proportional to 591.74, 816.82 and 414.71

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Solution

The fourth proportional to 591.74, 816.82 and 414.71 is: 572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.74 : 816.82 = 414.71 : x
  2. Step 2: Convert to fraction form
    591.74/816.82 = 414.71/x
  3. Step 3: Cross multiply
    591.74x = 816.82 × 414.71
  4. Step 4: Simplify right side
    591.74x = 338,743.42
  5. Step 5: Solve for x
    x = 338,743.42/591.74
  6. Step 6: Final answer
    x = 572.45

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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.