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Finding the Fourth Proportional to 478.27, 660.33 and 345.72

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Solution

The fourth proportional to 478.27, 660.33 and 345.72 is: 477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.27 : 660.33 = 345.72 : x
  2. Step 2: Convert to fraction form
    478.27/660.33 = 345.72/x
  3. Step 3: Cross multiply
    478.27x = 660.33 × 345.72
  4. Step 4: Simplify right side
    478.27x = 228,289.29
  5. Step 5: Solve for x
    x = 228,289.29/478.27
  6. Step 6: Final answer
    x = 477.32

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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.