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Finding the Fourth Proportional to 568.56, 784.72 and 335.74

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Solution

The fourth proportional to 568.56, 784.72 and 335.74 is: 463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.56 : 784.72 = 335.74 : x
  2. Step 2: Convert to fraction form
    568.56/784.72 = 335.74/x
  3. Step 3: Cross multiply
    568.56x = 784.72 × 335.74
  4. Step 4: Simplify right side
    568.56x = 263,461.89
  5. Step 5: Solve for x
    x = 263,461.89/568.56
  6. Step 6: Final answer
    x = 463.38

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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.