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Finding the Fourth Proportional to 697.44, 1,046.28 and 264.90

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Solution

The fourth proportional to 697.44, 1,046.28 and 264.90 is: 397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.44 : 1,046.28 = 264.90 : x
  2. Step 2: Convert to fraction form
    697.44/1,046.28 = 264.90/x
  3. Step 3: Cross multiply
    697.44x = 1,046.28 × 264.90
  4. Step 4: Simplify right side
    697.44x = 277,159.57
  5. Step 5: Solve for x
    x = 277,159.57/697.44
  6. Step 6: Final answer
    x = 397.40

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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.