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Finding the Fourth Proportional to 458.48, 683.86 and 428.24

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Solution

The fourth proportional to 458.48, 683.86 and 428.24 is: 638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.48 : 683.86 = 428.24 : x
  2. Step 2: Convert to fraction form
    458.48/683.86 = 428.24/x
  3. Step 3: Cross multiply
    458.48x = 683.86 × 428.24
  4. Step 4: Simplify right side
    458.48x = 292,856.21
  5. Step 5: Solve for x
    x = 292,856.21/458.48
  6. Step 6: Final answer
    x = 638.75

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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.