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Finding the Fourth Proportional to 617.45, 925.76 and 308.88

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Solution

The fourth proportional to 617.45, 925.76 and 308.88 is: 463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.45 : 925.76 = 308.88 : x
  2. Step 2: Convert to fraction form
    617.45/925.76 = 308.88/x
  3. Step 3: Cross multiply
    617.45x = 925.76 × 308.88
  4. Step 4: Simplify right side
    617.45x = 285,949.52
  5. Step 5: Solve for x
    x = 285,949.52/617.45
  6. Step 6: Final answer
    x = 463.12

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1.5x scale

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.