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Finding the Fourth Proportional to 507.24, 761.52 and 324.08

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Solution

The fourth proportional to 507.24, 761.52 and 324.08 is: 486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 761.52 = 324.08 : x
  2. Step 2: Convert to fraction form
    507.24/761.52 = 324.08/x
  3. Step 3: Cross multiply
    507.24x = 761.52 × 324.08
  4. Step 4: Simplify right side
    507.24x = 246,793.40
  5. Step 5: Solve for x
    x = 246,793.40/507.24
  6. Step 6: Final answer
    x = 486.54

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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.