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Finding the Fourth Proportional to 507.67, 701.01 and 342.43

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Solution

The fourth proportional to 507.67, 701.01 and 342.43 is: 472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.67 : 701.01 = 342.43 : x
  2. Step 2: Convert to fraction form
    507.67/701.01 = 342.43/x
  3. Step 3: Cross multiply
    507.67x = 701.01 × 342.43
  4. Step 4: Simplify right side
    507.67x = 240,044.25
  5. Step 5: Solve for x
    x = 240,044.25/507.67
  6. Step 6: Final answer
    x = 472.84

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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.