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Finding the Fourth Proportional to 650.53, 897.65 and 414.52

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Solution

The fourth proportional to 650.53, 897.65 and 414.52 is: 571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.53 : 897.65 = 414.52 : x
  2. Step 2: Convert to fraction form
    650.53/897.65 = 414.52/x
  3. Step 3: Cross multiply
    650.53x = 897.65 × 414.52
  4. Step 4: Simplify right side
    650.53x = 372,091.12
  5. Step 5: Solve for x
    x = 372,091.12/650.53
  6. Step 6: Final answer
    x = 571.98

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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.