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Finding the Fourth Proportional to 675.89, 932.40 and 466.35

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Solution

The fourth proportional to 675.89, 932.40 and 466.35 is: 643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.89 : 932.40 = 466.35 : x
  2. Step 2: Convert to fraction form
    675.89/932.40 = 466.35/x
  3. Step 3: Cross multiply
    675.89x = 932.40 × 466.35
  4. Step 4: Simplify right side
    675.89x = 434,824.74
  5. Step 5: Solve for x
    x = 434,824.74/675.89
  6. Step 6: Final answer
    x = 643.34

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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.