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Finding the Fourth Proportional to 650.97, 899.10 and 430.92

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Solution

The fourth proportional to 650.97, 899.10 and 430.92 is: 595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.97 : 899.10 = 430.92 : x
  2. Step 2: Convert to fraction form
    650.97/899.10 = 430.92/x
  3. Step 3: Cross multiply
    650.97x = 899.10 × 430.92
  4. Step 4: Simplify right side
    650.97x = 387,440.17
  5. Step 5: Solve for x
    x = 387,440.17/650.97
  6. Step 6: Final answer
    x = 595.17

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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.