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Finding the Fourth Proportional to 650.34, 897.18 and 414

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Solution

The fourth proportional to 650.34, 897.18 and 414 is: 571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.34 : 897.18 = 414 : x
  2. Step 2: Convert to fraction form
    650.34/897.18 = 414/x
  3. Step 3: Cross multiply
    650.34x = 897.18 × 414
  4. Step 4: Simplify right side
    650.34x = 371,432.52
  5. Step 5: Solve for x
    x = 371,432.52/650.34
  6. Step 6: Final answer
    x = 571.14

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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.