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Finding the Fourth Proportional to 442.71, 610.02 and 302.85

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Solution

The fourth proportional to 442.71, 610.02 and 302.85 is: 417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.71 : 610.02 = 302.85 : x
  2. Step 2: Convert to fraction form
    442.71/610.02 = 302.85/x
  3. Step 3: Cross multiply
    442.71x = 610.02 × 302.85
  4. Step 4: Simplify right side
    442.71x = 184,744.56
  5. Step 5: Solve for x
    x = 184,744.56/442.71
  6. Step 6: Final answer
    x = 417.30

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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.