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Finding the Fourth Proportional to 828.36, 1,242.30 and 315.24

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Solution

The fourth proportional to 828.36, 1,242.30 and 315.24 is: 472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.36 : 1,242.30 = 315.24 : x
  2. Step 2: Convert to fraction form
    828.36/1,242.30 = 315.24/x
  3. Step 3: Cross multiply
    828.36x = 1,242.30 × 315.24
  4. Step 4: Simplify right side
    828.36x = 391,622.65
  5. Step 5: Solve for x
    x = 391,622.65/828.36
  6. Step 6: Final answer
    x = 472.77

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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.