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Finding the Fourth Proportional to 650.18, 897.98 and 430.11

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Solution

The fourth proportional to 650.18, 897.98 and 430.11 is: 594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.18 : 897.98 = 430.11 : x
  2. Step 2: Convert to fraction form
    650.18/897.98 = 430.11/x
  3. Step 3: Cross multiply
    650.18x = 897.98 × 430.11
  4. Step 4: Simplify right side
    650.18x = 386,230.18
  5. Step 5: Solve for x
    x = 386,230.18/650.18
  6. Step 6: Final answer
    x = 594.04

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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.