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Finding the Fourth Proportional to 442.88, 610.68 and 302.96

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Solution

The fourth proportional to 442.88, 610.68 and 302.96 is: 417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.88 : 610.68 = 302.96 : x
  2. Step 2: Convert to fraction form
    442.88/610.68 = 302.96/x
  3. Step 3: Cross multiply
    442.88x = 610.68 × 302.96
  4. Step 4: Simplify right side
    442.88x = 185,011.61
  5. Step 5: Solve for x
    x = 185,011.61/442.88
  6. Step 6: Final answer
    x = 417.75

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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.