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Finding the Fourth Proportional to 442, 609.75 and 311.08

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Solution

The fourth proportional to 442, 609.75 and 311.08 is: 429.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442 : 609.75 = 311.08 : x
  2. Step 2: Convert to fraction form
    442/609.75 = 311.08/x
  3. Step 3: Cross multiply
    442x = 609.75 × 311.08
  4. Step 4: Simplify right side
    442x = 189,681.03
  5. Step 5: Solve for x
    x = 189,681.03/442
  6. Step 6: Final answer
    x = 429.14

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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.