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Finding the Fourth Proportional to 593.97, 820.07 and 531.70

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Solution

The fourth proportional to 593.97, 820.07 and 531.70 is: 734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.97 : 820.07 = 531.70 : x
  2. Step 2: Convert to fraction form
    593.97/820.07 = 531.70/x
  3. Step 3: Cross multiply
    593.97x = 820.07 × 531.70
  4. Step 4: Simplify right side
    593.97x = 436,026.40
  5. Step 5: Solve for x
    x = 436,026.40/593.97
  6. Step 6: Final answer
    x = 734.08

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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.