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Finding the Fourth Proportional to 614.53, 923.31 and 590.23

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Solution

The fourth proportional to 614.53, 923.31 and 590.23 is: 886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.53 : 923.31 = 590.23 : x
  2. Step 2: Convert to fraction form
    614.53/923.31 = 590.23/x
  3. Step 3: Cross multiply
    614.53x = 923.31 × 590.23
  4. Step 4: Simplify right side
    614.53x = 544,962.95
  5. Step 5: Solve for x
    x = 544,962.95/614.53
  6. Step 6: Final answer
    x = 886.80

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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.