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Finding the Fourth Proportional to 531.71, 793.50 and 524.82

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Solution

The fourth proportional to 531.71, 793.50 and 524.82 is: 783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.71 : 793.50 = 524.82 : x
  2. Step 2: Convert to fraction form
    531.71/793.50 = 524.82/x
  3. Step 3: Cross multiply
    531.71x = 793.50 × 524.82
  4. Step 4: Simplify right side
    531.71x = 416,444.67
  5. Step 5: Solve for x
    x = 416,444.67/531.71
  6. Step 6: Final answer
    x = 783.23

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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.