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Finding the Fourth Proportional to 706.06, 1,058.34 and 267.10

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Solution

The fourth proportional to 706.06, 1,058.34 and 267.10 is: 400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.06 : 1,058.34 = 267.10 : x
  2. Step 2: Convert to fraction form
    706.06/1,058.34 = 267.10/x
  3. Step 3: Cross multiply
    706.06x = 1,058.34 × 267.10
  4. Step 4: Simplify right side
    706.06x = 282,682.61
  5. Step 5: Solve for x
    x = 282,682.61/706.06
  6. Step 6: Final answer
    x = 400.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.