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Finding the Fourth Proportional to 568.32, 785.16 and 371.76

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Solution

The fourth proportional to 568.32, 785.16 and 371.76 is: 513.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.32 : 785.16 = 371.76 : x
  2. Step 2: Convert to fraction form
    568.32/785.16 = 371.76/x
  3. Step 3: Cross multiply
    568.32x = 785.16 × 371.76
  4. Step 4: Simplify right side
    568.32x = 291,891.08
  5. Step 5: Solve for x
    x = 291,891.08/568.32
  6. Step 6: Final answer
    x = 513.60

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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.