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Finding the Fourth Proportional to 602.23, 831.32 and 416.47

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Solution

The fourth proportional to 602.23, 831.32 and 416.47 is: 574.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.23 : 831.32 = 416.47 : x
  2. Step 2: Convert to fraction form
    602.23/831.32 = 416.47/x
  3. Step 3: Cross multiply
    602.23x = 831.32 × 416.47
  4. Step 4: Simplify right side
    602.23x = 346,217.76
  5. Step 5: Solve for x
    x = 346,217.76/602.23
  6. Step 6: Final answer
    x = 574.89

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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.