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Finding the Fourth Proportional to 602.99, 832.49 and 414.24

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Solution

The fourth proportional to 602.99, 832.49 and 414.24 is: 571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.99 : 832.49 = 414.24 : x
  2. Step 2: Convert to fraction form
    602.99/832.49 = 414.24/x
  3. Step 3: Cross multiply
    602.99x = 832.49 × 414.24
  4. Step 4: Simplify right side
    602.99x = 344,849.61
  5. Step 5: Solve for x
    x = 344,849.61/602.99
  6. Step 6: Final answer
    x = 571.90

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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.