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Finding the Fourth Proportional to 507.83, 760.69 and 324.29

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Solution

The fourth proportional to 507.83, 760.69 and 324.29 is: 485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.83 : 760.69 = 324.29 : x
  2. Step 2: Convert to fraction form
    507.83/760.69 = 324.29/x
  3. Step 3: Cross multiply
    507.83x = 760.69 × 324.29
  4. Step 4: Simplify right side
    507.83x = 246,684.64
  5. Step 5: Solve for x
    x = 246,684.64/507.83
  6. Step 6: Final answer
    x = 485.76

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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.