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Finding the Fourth Proportional to 469.10, 647.25 and 282.53

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Solution

The fourth proportional to 469.10, 647.25 and 282.53 is: 389.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.10 : 647.25 = 282.53 : x
  2. Step 2: Convert to fraction form
    469.10/647.25 = 282.53/x
  3. Step 3: Cross multiply
    469.10x = 647.25 × 282.53
  4. Step 4: Simplify right side
    469.10x = 182,865.54
  5. Step 5: Solve for x
    x = 182,865.54/469.10
  6. Step 6: Final answer
    x = 389.82

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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.