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Finding the Fourth Proportional to 264.34, 398.09 and 240.98

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Solution

The fourth proportional to 264.34, 398.09 and 240.98 is: 362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.34 : 398.09 = 240.98 : x
  2. Step 2: Convert to fraction form
    264.34/398.09 = 240.98/x
  3. Step 3: Cross multiply
    264.34x = 398.09 × 240.98
  4. Step 4: Simplify right side
    264.34x = 95,931.73
  5. Step 5: Solve for x
    x = 95,931.73/264.34
  6. Step 6: Final answer
    x = 362.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.