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Finding the Fourth Proportional to 614.88, 921.71 and 395.37

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Solution

The fourth proportional to 614.88, 921.71 and 395.37 is: 592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.88 : 921.71 = 395.37 : x
  2. Step 2: Convert to fraction form
    614.88/921.71 = 395.37/x
  3. Step 3: Cross multiply
    614.88x = 921.71 × 395.37
  4. Step 4: Simplify right side
    614.88x = 364,416.48
  5. Step 5: Solve for x
    x = 364,416.48/614.88
  6. Step 6: Final answer
    x = 592.66

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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.