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Finding the Fourth Proportional to 412.55, 569.33 and 314.13

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Solution

The fourth proportional to 412.55, 569.33 and 314.13 is: 433.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.55 : 569.33 = 314.13 : x
  2. Step 2: Convert to fraction form
    412.55/569.33 = 314.13/x
  3. Step 3: Cross multiply
    412.55x = 569.33 × 314.13
  4. Step 4: Simplify right side
    412.55x = 178,843.63
  5. Step 5: Solve for x
    x = 178,843.63/412.55
  6. Step 6: Final answer
    x = 433.51

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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.