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Finding the Fourth Proportional to 412.13, 568.74 and 228.13

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Solution

The fourth proportional to 412.13, 568.74 and 228.13 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.13 : 568.74 = 228.13 : x
  2. Step 2: Convert to fraction form
    412.13/568.74 = 228.13/x
  3. Step 3: Cross multiply
    412.13x = 568.74 × 228.13
  4. Step 4: Simplify right side
    412.13x = 129,746.66
  5. Step 5: Solve for x
    x = 129,746.66/412.13
  6. Step 6: Final answer
    x = 314.82

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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.