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Finding the Fourth Proportional to 425.60, 637.49 and 309.48

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Solution

The fourth proportional to 425.60, 637.49 and 309.48 is: 463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.60 : 637.49 = 309.48 : x
  2. Step 2: Convert to fraction form
    425.60/637.49 = 309.48/x
  3. Step 3: Cross multiply
    425.60x = 637.49 × 309.48
  4. Step 4: Simplify right side
    425.60x = 197,288.86
  5. Step 5: Solve for x
    x = 197,288.86/425.60
  6. Step 6: Final answer
    x = 463.56

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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.