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Finding the Fourth Proportional to 442.47, 610.70 and 286.95

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Solution

The fourth proportional to 442.47, 610.70 and 286.95 is: 396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.47 : 610.70 = 286.95 : x
  2. Step 2: Convert to fraction form
    442.47/610.70 = 286.95/x
  3. Step 3: Cross multiply
    442.47x = 610.70 × 286.95
  4. Step 4: Simplify right side
    442.47x = 175,238.03
  5. Step 5: Solve for x
    x = 175,238.03/442.47
  6. Step 6: Final answer
    x = 396.05

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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.