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Finding the Fourth Proportional to 478.47, 660.42 and 282.12

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Solution

The fourth proportional to 478.47, 660.42 and 282.12 is: 389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.47 : 660.42 = 282.12 : x
  2. Step 2: Convert to fraction form
    478.47/660.42 = 282.12/x
  3. Step 3: Cross multiply
    478.47x = 660.42 × 282.12
  4. Step 4: Simplify right side
    478.47x = 186,315.21
  5. Step 5: Solve for x
    x = 186,315.21/478.47
  6. Step 6: Final answer
    x = 389.39

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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.