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Finding the Fourth Proportional to 412.68, 569.25 and 314.40

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Solution

The fourth proportional to 412.68, 569.25 and 314.40 is: 433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.68 : 569.25 = 314.40 : x
  2. Step 2: Convert to fraction form
    412.68/569.25 = 314.40/x
  3. Step 3: Cross multiply
    412.68x = 569.25 × 314.40
  4. Step 4: Simplify right side
    412.68x = 178,972.20
  5. Step 5: Solve for x
    x = 178,972.20/412.68
  6. Step 6: Final answer
    x = 433.68

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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.