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Finding the Fourth Proportional to 568.64, 784.16 and 371.84

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Solution

The fourth proportional to 568.64, 784.16 and 371.84 is: 512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.64 : 784.16 = 371.84 : x
  2. Step 2: Convert to fraction form
    568.64/784.16 = 371.84/x
  3. Step 3: Cross multiply
    568.64x = 784.16 × 371.84
  4. Step 4: Simplify right side
    568.64x = 291,582.05
  5. Step 5: Solve for x
    x = 291,582.05/568.64
  6. Step 6: Final answer
    x = 512.77

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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.