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Finding the Fourth Proportional to 498.32, 686.70 and 405.32

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Solution

The fourth proportional to 498.32, 686.70 and 405.32 is: 558.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.32 : 686.70 = 405.32 : x
  2. Step 2: Convert to fraction form
    498.32/686.70 = 405.32/x
  3. Step 3: Cross multiply
    498.32x = 686.70 × 405.32
  4. Step 4: Simplify right side
    498.32x = 278,333.24
  5. Step 5: Solve for x
    x = 278,333.24/498.32
  6. Step 6: Final answer
    x = 558.54

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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.