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Finding the Fourth Proportional to 469.11, 647.40 and 282.61

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Solution

The fourth proportional to 469.11, 647.40 and 282.61 is: 390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.11 : 647.40 = 282.61 : x
  2. Step 2: Convert to fraction form
    469.11/647.40 = 282.61/x
  3. Step 3: Cross multiply
    469.11x = 647.40 × 282.61
  4. Step 4: Simplify right side
    469.11x = 182,961.71
  5. Step 5: Solve for x
    x = 182,961.71/469.11
  6. Step 6: Final answer
    x = 390.02

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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.