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Finding the Fourth Proportional to 551.64, 761.22 and 315.66

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Solution

The fourth proportional to 551.64, 761.22 and 315.66 is: 435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.64 : 761.22 = 315.66 : x
  2. Step 2: Convert to fraction form
    551.64/761.22 = 315.66/x
  3. Step 3: Cross multiply
    551.64x = 761.22 × 315.66
  4. Step 4: Simplify right side
    551.64x = 240,286.71
  5. Step 5: Solve for x
    x = 240,286.71/551.64
  6. Step 6: Final answer
    x = 435.59

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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.