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Finding the Fourth Proportional to 497.40, 686.76 and 332.16

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Solution

The fourth proportional to 497.40, 686.76 and 332.16 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.40 : 686.76 = 332.16 : x
  2. Step 2: Convert to fraction form
    497.40/686.76 = 332.16/x
  3. Step 3: Cross multiply
    497.40x = 686.76 × 332.16
  4. Step 4: Simplify right side
    497.40x = 228,114.20
  5. Step 5: Solve for x
    x = 228,114.20/497.40
  6. Step 6: Final answer
    x = 458.61

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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.