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Finding the Fourth Proportional to 507.12, 695.20 and 499.52

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Solution

The fourth proportional to 507.12, 695.20 and 499.52 is: 684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 695.20 = 499.52 : x
  2. Step 2: Convert to fraction form
    507.12/695.20 = 499.52/x
  3. Step 3: Cross multiply
    507.12x = 695.20 × 499.52
  4. Step 4: Simplify right side
    507.12x = 347,266.30
  5. Step 5: Solve for x
    x = 347,266.30/507.12
  6. Step 6: Final answer
    x = 684.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.