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Finding the Fourth Proportional to 442.71, 610.97 and 295.47

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Solution

The fourth proportional to 442.71, 610.97 and 295.47 is: 407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.71 : 610.97 = 295.47 : x
  2. Step 2: Convert to fraction form
    442.71/610.97 = 295.47/x
  3. Step 3: Cross multiply
    442.71x = 610.97 × 295.47
  4. Step 4: Simplify right side
    442.71x = 180,521.83
  5. Step 5: Solve for x
    x = 180,521.83/442.71
  6. Step 6: Final answer
    x = 407.77

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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.