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Finding the Fourth Proportional to 480.72, 716.22 and 456.24

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Solution

The fourth proportional to 480.72, 716.22 and 456.24 is: 679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.72 : 716.22 = 456.24 : x
  2. Step 2: Convert to fraction form
    480.72/716.22 = 456.24/x
  3. Step 3: Cross multiply
    480.72x = 716.22 × 456.24
  4. Step 4: Simplify right side
    480.72x = 326,768.21
  5. Step 5: Solve for x
    x = 326,768.21/480.72
  6. Step 6: Final answer
    x = 679.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.