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Finding the Fourth Proportional to 478.50, 660.33 and 282.14

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Solution

The fourth proportional to 478.50, 660.33 and 282.14 is: 389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.50 : 660.33 = 282.14 : x
  2. Step 2: Convert to fraction form
    478.50/660.33 = 282.14/x
  3. Step 3: Cross multiply
    478.50x = 660.33 × 282.14
  4. Step 4: Simplify right side
    478.50x = 186,302.20
  5. Step 5: Solve for x
    x = 186,302.20/478.50
  6. Step 6: Final answer
    x = 389.35

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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.