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Finding the Fourth Proportional to 411.76, 568.32 and 237.16

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Solution

The fourth proportional to 411.76, 568.32 and 237.16 is: 327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.76 : 568.32 = 237.16 : x
  2. Step 2: Convert to fraction form
    411.76/568.32 = 237.16/x
  3. Step 3: Cross multiply
    411.76x = 568.32 × 237.16
  4. Step 4: Simplify right side
    411.76x = 134,782.77
  5. Step 5: Solve for x
    x = 134,782.77/411.76
  6. Step 6: Final answer
    x = 327.33

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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.