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Finding the Fourth Proportional to 602.76, 831.68 and 354.07

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Solution

The fourth proportional to 602.76, 831.68 and 354.07 is: 488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.76 : 831.68 = 354.07 : x
  2. Step 2: Convert to fraction form
    602.76/831.68 = 354.07/x
  3. Step 3: Cross multiply
    602.76x = 831.68 × 354.07
  4. Step 4: Simplify right side
    602.76x = 294,472.94
  5. Step 5: Solve for x
    x = 294,472.94/602.76
  6. Step 6: Final answer
    x = 488.54

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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.