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Finding the Fourth Proportional to 480.59, 721.17 and 316.26

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Solution

The fourth proportional to 480.59, 721.17 and 316.26 is: 474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.59 : 721.17 = 316.26 : x
  2. Step 2: Convert to fraction form
    480.59/721.17 = 316.26/x
  3. Step 3: Cross multiply
    480.59x = 721.17 × 316.26
  4. Step 4: Simplify right side
    480.59x = 228,077.45
  5. Step 5: Solve for x
    x = 228,077.45/480.59
  6. Step 6: Final answer
    x = 474.58

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Why These Related Problems?

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