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Finding the Fourth Proportional to 509.98, 764.16 and 491

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Solution

The fourth proportional to 509.98, 764.16 and 491 is: 735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.98 : 764.16 = 491 : x
  2. Step 2: Convert to fraction form
    509.98/764.16 = 491/x
  3. Step 3: Cross multiply
    509.98x = 764.16 × 491
  4. Step 4: Simplify right side
    509.98x = 375,202.56
  5. Step 5: Solve for x
    x = 375,202.56/509.98
  6. Step 6: Final answer
    x = 735.72

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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.