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Finding the Fourth Proportional to 865.58, 1,297.98 and 249.14

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Solution

The fourth proportional to 865.58, 1,297.98 and 249.14 is: 373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.58 : 1,297.98 = 249.14 : x
  2. Step 2: Convert to fraction form
    865.58/1,297.98 = 249.14/x
  3. Step 3: Cross multiply
    865.58x = 1,297.98 × 249.14
  4. Step 4: Simplify right side
    865.58x = 323,381.98
  5. Step 5: Solve for x
    x = 323,381.98/865.58
  6. Step 6: Final answer
    x = 373.60

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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.