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Finding the Fourth Proportional to 498.16, 688.05 and 332.08

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Solution

The fourth proportional to 498.16, 688.05 and 332.08 is: 458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.16 : 688.05 = 332.08 : x
  2. Step 2: Convert to fraction form
    498.16/688.05 = 332.08/x
  3. Step 3: Cross multiply
    498.16x = 688.05 × 332.08
  4. Step 4: Simplify right side
    498.16x = 228,487.64
  5. Step 5: Solve for x
    x = 228,487.64/498.16
  6. Step 6: Final answer
    x = 458.66

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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.