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Finding the Fourth Proportional to 509.16, 763.26 and 265.32

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Solution

The fourth proportional to 509.16, 763.26 and 265.32 is: 397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.16 : 763.26 = 265.32 : x
  2. Step 2: Convert to fraction form
    509.16/763.26 = 265.32/x
  3. Step 3: Cross multiply
    509.16x = 763.26 × 265.32
  4. Step 4: Simplify right side
    509.16x = 202,508.14
  5. Step 5: Solve for x
    x = 202,508.14/509.16
  6. Step 6: Final answer
    x = 397.73

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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.