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Finding the Fourth Proportional to 476.52, 655.98 and 445.74

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Solution

The fourth proportional to 476.52, 655.98 and 445.74 is: 613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.52 : 655.98 = 445.74 : x
  2. Step 2: Convert to fraction form
    476.52/655.98 = 445.74/x
  3. Step 3: Cross multiply
    476.52x = 655.98 × 445.74
  4. Step 4: Simplify right side
    476.52x = 292,396.53
  5. Step 5: Solve for x
    x = 292,396.53/476.52
  6. Step 6: Final answer
    x = 613.61

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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.