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Finding the Fourth Proportional to 832.23, 1,247.90 and 304.92

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Solution

The fourth proportional to 832.23, 1,247.90 and 304.92 is: 457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.23 : 1,247.90 = 304.92 : x
  2. Step 2: Convert to fraction form
    832.23/1,247.90 = 304.92/x
  3. Step 3: Cross multiply
    832.23x = 1,247.90 × 304.92
  4. Step 4: Simplify right side
    832.23x = 380,508.14
  5. Step 5: Solve for x
    x = 380,508.14/832.23
  6. Step 6: Final answer
    x = 457.22

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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.