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Finding the Fourth Proportional to 508.82, 701.26 and 342.57

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Solution

The fourth proportional to 508.82, 701.26 and 342.57 is: 472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.82 : 701.26 = 342.57 : x
  2. Step 2: Convert to fraction form
    508.82/701.26 = 342.57/x
  3. Step 3: Cross multiply
    508.82x = 701.26 × 342.57
  4. Step 4: Simplify right side
    508.82x = 240,230.64
  5. Step 5: Solve for x
    x = 240,230.64/508.82
  6. Step 6: Final answer
    x = 472.13

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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.