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Finding the Fourth Proportional to 637.78, 955.92 and 312.40

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Solution

The fourth proportional to 637.78, 955.92 and 312.40 is: 468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.78 : 955.92 = 312.40 : x
  2. Step 2: Convert to fraction form
    637.78/955.92 = 312.40/x
  3. Step 3: Cross multiply
    637.78x = 955.92 × 312.40
  4. Step 4: Simplify right side
    637.78x = 298,629.41
  5. Step 5: Solve for x
    x = 298,629.41/637.78
  6. Step 6: Final answer
    x = 468.23

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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.