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Finding the Fourth Proportional to 702.00, 1,053.16 and 269.16

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Solution

The fourth proportional to 702.00, 1,053.16 and 269.16 is: 403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.00 : 1,053.16 = 269.16 : x
  2. Step 2: Convert to fraction form
    702.00/1,053.16 = 269.16/x
  3. Step 3: Cross multiply
    702.00x = 1,053.16 × 269.16
  4. Step 4: Simplify right side
    702.00x = 283,463.42
  5. Step 5: Solve for x
    x = 283,463.42/702.00
  6. Step 6: Final answer
    x = 403.79

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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.