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Finding the Fourth Proportional to 593.29, 889.25 and 524.95

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Solution

The fourth proportional to 593.29, 889.25 and 524.95 is: 786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.29 : 889.25 = 524.95 : x
  2. Step 2: Convert to fraction form
    593.29/889.25 = 524.95/x
  3. Step 3: Cross multiply
    593.29x = 889.25 × 524.95
  4. Step 4: Simplify right side
    593.29x = 466,811.79
  5. Step 5: Solve for x
    x = 466,811.79/593.29
  6. Step 6: Final answer
    x = 786.82

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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.