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Finding the Fourth Proportional to 507.24, 760.38 and 301.86

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Solution

The fourth proportional to 507.24, 760.38 and 301.86 is: 452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.24 : 760.38 = 301.86 : x
  2. Step 2: Convert to fraction form
    507.24/760.38 = 301.86/x
  3. Step 3: Cross multiply
    507.24x = 760.38 × 301.86
  4. Step 4: Simplify right side
    507.24x = 229,528.31
  5. Step 5: Solve for x
    x = 229,528.31/507.24
  6. Step 6: Final answer
    x = 452.50

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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.