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Finding the Fourth Proportional to 614.30, 847.29 and 434.55

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Solution

The fourth proportional to 614.30, 847.29 and 434.55 is: 599.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.30 : 847.29 = 434.55 : x
  2. Step 2: Convert to fraction form
    614.30/847.29 = 434.55/x
  3. Step 3: Cross multiply
    614.30x = 847.29 × 434.55
  4. Step 4: Simplify right side
    614.30x = 368,189.87
  5. Step 5: Solve for x
    x = 368,189.87/614.30
  6. Step 6: Final answer
    x = 599.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.