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Finding the Fourth Proportional to 603.35, 831.71 and 472.13

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Solution

The fourth proportional to 603.35, 831.71 and 472.13 is: 650.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.35 : 831.71 = 472.13 : x
  2. Step 2: Convert to fraction form
    603.35/831.71 = 472.13/x
  3. Step 3: Cross multiply
    603.35x = 831.71 × 472.13
  4. Step 4: Simplify right side
    603.35x = 392,675.24
  5. Step 5: Solve for x
    x = 392,675.24/603.35
  6. Step 6: Final answer
    x = 650.82

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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.