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Finding the Fourth Proportional to 412.57, 569.61 and 319.15

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Solution

The fourth proportional to 412.57, 569.61 and 319.15 is: 440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.57 : 569.61 = 319.15 : x
  2. Step 2: Convert to fraction form
    412.57/569.61 = 319.15/x
  3. Step 3: Cross multiply
    412.57x = 569.61 × 319.15
  4. Step 4: Simplify right side
    412.57x = 181,789.61
  5. Step 5: Solve for x
    x = 181,789.61/412.57
  6. Step 6: Final answer
    x = 440.63

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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.