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Finding the Fourth Proportional to 508.19, 701.07 and 342.46

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Solution

The fourth proportional to 508.19, 701.07 and 342.46 is: 472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.19 : 701.07 = 342.46 : x
  2. Step 2: Convert to fraction form
    508.19/701.07 = 342.46/x
  3. Step 3: Cross multiply
    508.19x = 701.07 × 342.46
  4. Step 4: Simplify right side
    508.19x = 240,084.93
  5. Step 5: Solve for x
    x = 240,084.93/508.19
  6. Step 6: Final answer
    x = 472.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.