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Finding the Fourth Proportional to 593.24, 818.24 and 424.81

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Solution

The fourth proportional to 593.24, 818.24 and 424.81 is: 585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.24 : 818.24 = 424.81 : x
  2. Step 2: Convert to fraction form
    593.24/818.24 = 424.81/x
  3. Step 3: Cross multiply
    593.24x = 818.24 × 424.81
  4. Step 4: Simplify right side
    593.24x = 347,596.53
  5. Step 5: Solve for x
    x = 347,596.53/593.24
  6. Step 6: Final answer
    x = 585.93

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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.