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Finding the Fourth Proportional to 709.70, 1,062.63 and 366.98

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Solution

The fourth proportional to 709.70, 1,062.63 and 366.98 is: 549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.70 : 1,062.63 = 366.98 : x
  2. Step 2: Convert to fraction form
    709.70/1,062.63 = 366.98/x
  3. Step 3: Cross multiply
    709.70x = 1,062.63 × 366.98
  4. Step 4: Simplify right side
    709.70x = 389,963.96
  5. Step 5: Solve for x
    x = 389,963.96/709.70
  6. Step 6: Final answer
    x = 549.48

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Why These Related Problems?

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