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Finding the Fourth Proportional to 655.92, 904.80 and 445.80

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Solution

The fourth proportional to 655.92, 904.80 and 445.80 is: 614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.92 : 904.80 = 445.80 : x
  2. Step 2: Convert to fraction form
    655.92/904.80 = 445.80/x
  3. Step 3: Cross multiply
    655.92x = 904.80 × 445.80
  4. Step 4: Simplify right side
    655.92x = 403,359.84
  5. Step 5: Solve for x
    x = 403,359.84/655.92
  6. Step 6: Final answer
    x = 614.95

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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.