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Finding the Fourth Proportional to 824.41, 1,237.10 and 304.78

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Solution

The fourth proportional to 824.41, 1,237.10 and 304.78 is: 457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.41 : 1,237.10 = 304.78 : x
  2. Step 2: Convert to fraction form
    824.41/1,237.10 = 304.78/x
  3. Step 3: Cross multiply
    824.41x = 1,237.10 × 304.78
  4. Step 4: Simplify right side
    824.41x = 377,043.34
  5. Step 5: Solve for x
    x = 377,043.34/824.41
  6. Step 6: Final answer
    x = 457.35

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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.