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Finding the Fourth Proportional to 531.46, 793.50 and 498.66

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Solution

The fourth proportional to 531.46, 793.50 and 498.66 is: 744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.46 : 793.50 = 498.66 : x
  2. Step 2: Convert to fraction form
    531.46/793.50 = 498.66/x
  3. Step 3: Cross multiply
    531.46x = 793.50 × 498.66
  4. Step 4: Simplify right side
    531.46x = 395,681.50
  5. Step 5: Solve for x
    x = 395,681.50/531.46
  6. Step 6: Final answer
    x = 744.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.