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Finding the Fourth Proportional to 824.88, 1,237.64 and 312.24

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Solution

The fourth proportional to 824.88, 1,237.64 and 312.24 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.88 : 1,237.64 = 312.24 : x
  2. Step 2: Convert to fraction form
    824.88/1,237.64 = 312.24/x
  3. Step 3: Cross multiply
    824.88x = 1,237.64 × 312.24
  4. Step 4: Simplify right side
    824.88x = 386,440.71
  5. Step 5: Solve for x
    x = 386,440.71/824.88
  6. Step 6: Final answer
    x = 468.48

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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.