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Finding the Fourth Proportional to 562.31, 775.98 and 341.33

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Solution

The fourth proportional to 562.31, 775.98 and 341.33 is: 471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.31 : 775.98 = 341.33 : x
  2. Step 2: Convert to fraction form
    562.31/775.98 = 341.33/x
  3. Step 3: Cross multiply
    562.31x = 775.98 × 341.33
  4. Step 4: Simplify right side
    562.31x = 264,865.74
  5. Step 5: Solve for x
    x = 264,865.74/562.31
  6. Step 6: Final answer
    x = 471.03

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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.