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Finding the Fourth Proportional to 412.30, 569.10 and 319.42

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Solution

The fourth proportional to 412.30, 569.10 and 319.42 is: 440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.30 : 569.10 = 319.42 : x
  2. Step 2: Convert to fraction form
    412.30/569.10 = 319.42/x
  3. Step 3: Cross multiply
    412.30x = 569.10 × 319.42
  4. Step 4: Simplify right side
    412.30x = 181,781.92
  5. Step 5: Solve for x
    x = 181,781.92/412.30
  6. Step 6: Final answer
    x = 440.90

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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.