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Finding the Fourth Proportional to 650.19, 897.03 and 414.30

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Solution

The fourth proportional to 650.19, 897.03 and 414.30 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.19 : 897.03 = 414.30 : x
  2. Step 2: Convert to fraction form
    650.19/897.03 = 414.30/x
  3. Step 3: Cross multiply
    650.19x = 897.03 × 414.30
  4. Step 4: Simplify right side
    650.19x = 371,639.53
  5. Step 5: Solve for x
    x = 371,639.53/650.19
  6. Step 6: Final answer
    x = 571.59

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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.