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Finding the Fourth Proportional to 509.30, 764.10 and 454.85

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Solution

The fourth proportional to 509.30, 764.10 and 454.85 is: 682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 764.10 = 454.85 : x
  2. Step 2: Convert to fraction form
    509.30/764.10 = 454.85/x
  3. Step 3: Cross multiply
    509.30x = 764.10 × 454.85
  4. Step 4: Simplify right side
    509.30x = 347,547.06
  5. Step 5: Solve for x
    x = 347,547.06/509.30
  6. Step 6: Final answer
    x = 682.41

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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.