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Finding the Fourth Proportional to 461.56, 688.33 and 455.36

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Solution

The fourth proportional to 461.56, 688.33 and 455.36 is: 679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.56 : 688.33 = 455.36 : x
  2. Step 2: Convert to fraction form
    461.56/688.33 = 455.36/x
  3. Step 3: Cross multiply
    461.56x = 688.33 × 455.36
  4. Step 4: Simplify right side
    461.56x = 313,437.95
  5. Step 5: Solve for x
    x = 313,437.95/461.56
  6. Step 6: Final answer
    x = 679.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.