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Finding the Fourth Proportional to 442.90, 610.85 and 295.28

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Solution

The fourth proportional to 442.90, 610.85 and 295.28 is: 407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.90 : 610.85 = 295.28 : x
  2. Step 2: Convert to fraction form
    442.90/610.85 = 295.28/x
  3. Step 3: Cross multiply
    442.90x = 610.85 × 295.28
  4. Step 4: Simplify right side
    442.90x = 180,371.79
  5. Step 5: Solve for x
    x = 180,371.79/442.90
  6. Step 6: Final answer
    x = 407.25

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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.