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Finding the Fourth Proportional to 593.70, 820.59 and 523.14

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Solution

The fourth proportional to 593.70, 820.59 and 523.14 is: 723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.70 : 820.59 = 523.14 : x
  2. Step 2: Convert to fraction form
    593.70/820.59 = 523.14/x
  3. Step 3: Cross multiply
    593.70x = 820.59 × 523.14
  4. Step 4: Simplify right side
    593.70x = 429,283.45
  5. Step 5: Solve for x
    x = 429,283.45/593.70
  6. Step 6: Final answer
    x = 723.06

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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.