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Finding the Fourth Proportional to 655.78, 904.73 and 375.91

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Solution

The fourth proportional to 655.78, 904.73 and 375.91 is: 518.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.78 : 904.73 = 375.91 : x
  2. Step 2: Convert to fraction form
    655.78/904.73 = 375.91/x
  3. Step 3: Cross multiply
    655.78x = 904.73 × 375.91
  4. Step 4: Simplify right side
    655.78x = 340,095.17
  5. Step 5: Solve for x
    x = 340,095.17/655.78
  6. Step 6: Final answer
    x = 518.62

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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.