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Finding the Fourth Proportional to 593.53, 889.38 and 502.40

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Solution

The fourth proportional to 593.53, 889.38 and 502.40 is: 752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.53 : 889.38 = 502.40 : x
  2. Step 2: Convert to fraction form
    593.53/889.38 = 502.40/x
  3. Step 3: Cross multiply
    593.53x = 889.38 × 502.40
  4. Step 4: Simplify right side
    593.53x = 446,826.74
  5. Step 5: Solve for x
    x = 446,826.74/593.53
  6. Step 6: Final answer
    x = 752.83

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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.