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Finding the Fourth Proportional to 509.40, 763.70 and 266.13

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Solution

The fourth proportional to 509.40, 763.70 and 266.13 is: 398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 763.70 = 266.13 : x
  2. Step 2: Convert to fraction form
    509.40/763.70 = 266.13/x
  3. Step 3: Cross multiply
    509.40x = 763.70 × 266.13
  4. Step 4: Simplify right side
    509.40x = 203,242.15
  5. Step 5: Solve for x
    x = 203,242.15/509.40
  6. Step 6: Final answer
    x = 398.98

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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.