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Finding the Fourth Proportional to 675.93, 932.85 and 455.34

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Solution

The fourth proportional to 675.93, 932.85 and 455.34 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.93 : 932.85 = 455.34 : x
  2. Step 2: Convert to fraction form
    675.93/932.85 = 455.34/x
  3. Step 3: Cross multiply
    675.93x = 932.85 × 455.34
  4. Step 4: Simplify right side
    675.93x = 424,763.92
  5. Step 5: Solve for x
    x = 424,763.92/675.93
  6. Step 6: Final answer
    x = 628.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.