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Finding the Fourth Proportional to 500.27, 746.14 and 482.86

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Solution

The fourth proportional to 500.27, 746.14 and 482.86 is: 720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.27 : 746.14 = 482.86 : x
  2. Step 2: Convert to fraction form
    500.27/746.14 = 482.86/x
  3. Step 3: Cross multiply
    500.27x = 746.14 × 482.86
  4. Step 4: Simplify right side
    500.27x = 360,275.02
  5. Step 5: Solve for x
    x = 360,275.02/500.27
  6. Step 6: Final answer
    x = 720.16

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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.