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Finding the Fourth Proportional to 590.52, 885.78 and 385.86

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Solution

The fourth proportional to 590.52, 885.78 and 385.86 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.52 : 885.78 = 385.86 : x
  2. Step 2: Convert to fraction form
    590.52/885.78 = 385.86/x
  3. Step 3: Cross multiply
    590.52x = 885.78 × 385.86
  4. Step 4: Simplify right side
    590.52x = 341,787.07
  5. Step 5: Solve for x
    x = 341,787.07/590.52
  6. Step 6: Final answer
    x = 578.79

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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.