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Finding the Fourth Proportional to 593.82, 818.37 and 500.58

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Solution

The fourth proportional to 593.82, 818.37 and 500.58 is: 689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.82 : 818.37 = 500.58 : x
  2. Step 2: Convert to fraction form
    593.82/818.37 = 500.58/x
  3. Step 3: Cross multiply
    593.82x = 818.37 × 500.58
  4. Step 4: Simplify right side
    593.82x = 409,659.65
  5. Step 5: Solve for x
    x = 409,659.65/593.82
  6. Step 6: Final answer
    x = 689.87

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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.