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Finding the Fourth Proportional to 602.18, 831.30 and 469.14

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Solution

The fourth proportional to 602.18, 831.30 and 469.14 is: 647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.18 : 831.30 = 469.14 : x
  2. Step 2: Convert to fraction form
    602.18/831.30 = 469.14/x
  3. Step 3: Cross multiply
    602.18x = 831.30 × 469.14
  4. Step 4: Simplify right side
    602.18x = 389,996.08
  5. Step 5: Solve for x
    x = 389,996.08/602.18
  6. Step 6: Final answer
    x = 647.64

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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.