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Finding the Fourth Proportional to 473.52, 713.28 and 444.72

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Solution

The fourth proportional to 473.52, 713.28 and 444.72 is: 669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.52 : 713.28 = 444.72 : x
  2. Step 2: Convert to fraction form
    473.52/713.28 = 444.72/x
  3. Step 3: Cross multiply
    473.52x = 713.28 × 444.72
  4. Step 4: Simplify right side
    473.52x = 317,209.88
  5. Step 5: Solve for x
    x = 317,209.88/473.52
  6. Step 6: Final answer
    x = 669.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.