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Finding the Fourth Proportional to 690.73, 953.30 and 442.06

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Solution

The fourth proportional to 690.73, 953.30 and 442.06 is: 610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.73 : 953.30 = 442.06 : x
  2. Step 2: Convert to fraction form
    690.73/953.30 = 442.06/x
  3. Step 3: Cross multiply
    690.73x = 953.30 × 442.06
  4. Step 4: Simplify right side
    690.73x = 421,414.52
  5. Step 5: Solve for x
    x = 421,414.52/690.73
  6. Step 6: Final answer
    x = 610.10

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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.