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Finding the Fourth Proportional to 675.65, 932.82 and 465.76

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Solution

The fourth proportional to 675.65, 932.82 and 465.76 is: 643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.65 : 932.82 = 465.76 : x
  2. Step 2: Convert to fraction form
    675.65/932.82 = 465.76/x
  3. Step 3: Cross multiply
    675.65x = 932.82 × 465.76
  4. Step 4: Simplify right side
    675.65x = 434,467.91
  5. Step 5: Solve for x
    x = 434,467.91/675.65
  6. Step 6: Final answer
    x = 643.03

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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.