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Finding the Fourth Proportional to 480.31, 720.47 and 317.96

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Solution

The fourth proportional to 480.31, 720.47 and 317.96 is: 476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.31 : 720.47 = 317.96 : x
  2. Step 2: Convert to fraction form
    480.31/720.47 = 317.96/x
  3. Step 3: Cross multiply
    480.31x = 720.47 × 317.96
  4. Step 4: Simplify right side
    480.31x = 229,079.64
  5. Step 5: Solve for x
    x = 229,079.64/480.31
  6. Step 6: Final answer
    x = 476.94

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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.