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Finding the Fourth Proportional to 411.81, 568.40 and 256.65

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Solution

The fourth proportional to 411.81, 568.40 and 256.65 is: 354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.81 : 568.40 = 256.65 : x
  2. Step 2: Convert to fraction form
    411.81/568.40 = 256.65/x
  3. Step 3: Cross multiply
    411.81x = 568.40 × 256.65
  4. Step 4: Simplify right side
    411.81x = 145,879.86
  5. Step 5: Solve for x
    x = 145,879.86/411.81
  6. Step 6: Final answer
    x = 354.24

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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.