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Finding the Fourth Proportional to 655.71, 904.89 and 375.92

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Solution

The fourth proportional to 655.71, 904.89 and 375.92 is: 518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.71 : 904.89 = 375.92 : x
  2. Step 2: Convert to fraction form
    655.71/904.89 = 375.92/x
  3. Step 3: Cross multiply
    655.71x = 904.89 × 375.92
  4. Step 4: Simplify right side
    655.71x = 340,166.53
  5. Step 5: Solve for x
    x = 340,166.53/655.71
  6. Step 6: Final answer
    x = 518.78

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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.