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Finding the Fourth Proportional to 670.64, 925.14 and 446.96

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Solution

The fourth proportional to 670.64, 925.14 and 446.96 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.64 : 925.14 = 446.96 : x
  2. Step 2: Convert to fraction form
    670.64/925.14 = 446.96/x
  3. Step 3: Cross multiply
    670.64x = 925.14 × 446.96
  4. Step 4: Simplify right side
    670.64x = 413,500.57
  5. Step 5: Solve for x
    x = 413,500.57/670.64
  6. Step 6: Final answer
    x = 616.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.