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Finding the Fourth Proportional to 945.20, 1,417.52 and 328.76

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Solution

The fourth proportional to 945.20, 1,417.52 and 328.76 is: 493.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.20 : 1,417.52 = 328.76 : x
  2. Step 2: Convert to fraction form
    945.20/1,417.52 = 328.76/x
  3. Step 3: Cross multiply
    945.20x = 1,417.52 × 328.76
  4. Step 4: Simplify right side
    945.20x = 466,023.88
  5. Step 5: Solve for x
    x = 466,023.88/945.20
  6. Step 6: Final answer
    x = 493.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.