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Finding the Fourth Proportional to 509.60, 763.72 and 265.64

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Solution

The fourth proportional to 509.60, 763.72 and 265.64 is: 398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.60 : 763.72 = 265.64 : x
  2. Step 2: Convert to fraction form
    509.60/763.72 = 265.64/x
  3. Step 3: Cross multiply
    509.60x = 763.72 × 265.64
  4. Step 4: Simplify right side
    509.60x = 202,874.58
  5. Step 5: Solve for x
    x = 202,874.58/509.60
  6. Step 6: Final answer
    x = 398.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.