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Finding the Fourth Proportional to 691.56, 954.45 and 442.80

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Solution

The fourth proportional to 691.56, 954.45 and 442.80 is: 611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.56 : 954.45 = 442.80 : x
  2. Step 2: Convert to fraction form
    691.56/954.45 = 442.80/x
  3. Step 3: Cross multiply
    691.56x = 954.45 × 442.80
  4. Step 4: Simplify right side
    691.56x = 422,630.46
  5. Step 5: Solve for x
    x = 422,630.46/691.56
  6. Step 6: Final answer
    x = 611.13

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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.