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Finding the Fourth Proportional to 508.36, 763.08 and 265

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Solution

The fourth proportional to 508.36, 763.08 and 265 is: 397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.36 : 763.08 = 265 : x
  2. Step 2: Convert to fraction form
    508.36/763.08 = 265/x
  3. Step 3: Cross multiply
    508.36x = 763.08 × 265
  4. Step 4: Simplify right side
    508.36x = 202,216.20
  5. Step 5: Solve for x
    x = 202,216.20/508.36
  6. Step 6: Final answer
    x = 397.78

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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.