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Finding the Fourth Proportional to 596.47, 818.74 and 529.51

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Solution

The fourth proportional to 596.47, 818.74 and 529.51 is: 726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.47 : 818.74 = 529.51 : x
  2. Step 2: Convert to fraction form
    596.47/818.74 = 529.51/x
  3. Step 3: Cross multiply
    596.47x = 818.74 × 529.51
  4. Step 4: Simplify right side
    596.47x = 433,529.69
  5. Step 5: Solve for x
    x = 433,529.69/596.47
  6. Step 6: Final answer
    x = 726.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.