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Finding the Fourth Proportional to 593.18, 889.50 and 384.61

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Solution

The fourth proportional to 593.18, 889.50 and 384.61 is: 576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.18 : 889.50 = 384.61 : x
  2. Step 2: Convert to fraction form
    593.18/889.50 = 384.61/x
  3. Step 3: Cross multiply
    593.18x = 889.50 × 384.61
  4. Step 4: Simplify right side
    593.18x = 342,110.60
  5. Step 5: Solve for x
    x = 342,110.60/593.18
  6. Step 6: Final answer
    x = 576.74

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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.