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Finding the Fourth Proportional to 568.32, 784.29 and 332.41

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Solution

The fourth proportional to 568.32, 784.29 and 332.41 is: 458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.32 : 784.29 = 332.41 : x
  2. Step 2: Convert to fraction form
    568.32/784.29 = 332.41/x
  3. Step 3: Cross multiply
    568.32x = 784.29 × 332.41
  4. Step 4: Simplify right side
    568.32x = 260,705.84
  5. Step 5: Solve for x
    x = 260,705.84/568.32
  6. Step 6: Final answer
    x = 458.73

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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.