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Finding the Fourth Proportional to 675.42, 932.06 and 454.34

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Solution

The fourth proportional to 675.42, 932.06 and 454.34 is: 626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 932.06 = 454.34 : x
  2. Step 2: Convert to fraction form
    675.42/932.06 = 454.34/x
  3. Step 3: Cross multiply
    675.42x = 932.06 × 454.34
  4. Step 4: Simplify right side
    675.42x = 423,472.14
  5. Step 5: Solve for x
    x = 423,472.14/675.42
  6. Step 6: Final answer
    x = 626.98

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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.