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Finding the Fourth Proportional to 531.54, 798.51 and 498.72

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Solution

The fourth proportional to 531.54, 798.51 and 498.72 is: 749.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 798.51 = 498.72 : x
  2. Step 2: Convert to fraction form
    531.54/798.51 = 498.72/x
  3. Step 3: Cross multiply
    531.54x = 798.51 × 498.72
  4. Step 4: Simplify right side
    531.54x = 398,232.91
  5. Step 5: Solve for x
    x = 398,232.91/531.54
  6. Step 6: Final answer
    x = 749.21

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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.