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Finding the Fourth Proportional to 442.30, 610.42 and 302.37

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Solution

The fourth proportional to 442.30, 610.42 and 302.37 is: 417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.30 : 610.42 = 302.37 : x
  2. Step 2: Convert to fraction form
    442.30/610.42 = 302.37/x
  3. Step 3: Cross multiply
    442.30x = 610.42 × 302.37
  4. Step 4: Simplify right side
    442.30x = 184,572.70
  5. Step 5: Solve for x
    x = 184,572.70/442.30
  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.