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Finding the Fourth Proportional to 551.64, 761.31 and 341.85

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Solution

The fourth proportional to 551.64, 761.31 and 341.85 is: 471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.64 : 761.31 = 341.85 : x
  2. Step 2: Convert to fraction form
    551.64/761.31 = 341.85/x
  3. Step 3: Cross multiply
    551.64x = 761.31 × 341.85
  4. Step 4: Simplify right side
    551.64x = 260,253.82
  5. Step 5: Solve for x
    x = 260,253.82/551.64
  6. Step 6: Final answer
    x = 471.78

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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.