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Finding the Fourth Proportional to 434.93, 652.34 and 409.55

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Solution

The fourth proportional to 434.93, 652.34 and 409.55 is: 614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.93 : 652.34 = 409.55 : x
  2. Step 2: Convert to fraction form
    434.93/652.34 = 409.55/x
  3. Step 3: Cross multiply
    434.93x = 652.34 × 409.55
  4. Step 4: Simplify right side
    434.93x = 267,163.61
  5. Step 5: Solve for x
    x = 267,163.61/434.93
  6. Step 6: Final answer
    x = 614.28

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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.