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Finding the Fourth Proportional to 265.32, 398.40 and 255

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Solution

The fourth proportional to 265.32, 398.40 and 255 is: 382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.32 : 398.40 = 255 : x
  2. Step 2: Convert to fraction form
    265.32/398.40 = 255/x
  3. Step 3: Cross multiply
    265.32x = 398.40 × 255
  4. Step 4: Simplify right side
    265.32x = 101,592
  5. Step 5: Solve for x
    x = 101,592/265.32
  6. Step 6: Final answer
    x = 382.90

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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.