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Finding the Fourth Proportional to 265.72, 395.98 and 258.28

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Solution

The fourth proportional to 265.72, 395.98 and 258.28 is: 384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.72 : 395.98 = 258.28 : x
  2. Step 2: Convert to fraction form
    265.72/395.98 = 258.28/x
  3. Step 3: Cross multiply
    265.72x = 395.98 × 258.28
  4. Step 4: Simplify right side
    265.72x = 102,273.71
  5. Step 5: Solve for x
    x = 102,273.71/265.72
  6. Step 6: Final answer
    x = 384.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.