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Finding the Fourth Proportional to 498.35, 746.58 and 292.30

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Solution

The fourth proportional to 498.35, 746.58 and 292.30 is: 437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.35 : 746.58 = 292.30 : x
  2. Step 2: Convert to fraction form
    498.35/746.58 = 292.30/x
  3. Step 3: Cross multiply
    498.35x = 746.58 × 292.30
  4. Step 4: Simplify right side
    498.35x = 218,223.47
  5. Step 5: Solve for x
    x = 218,223.47/498.35
  6. Step 6: Final answer
    x = 437.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.