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Finding the Fourth Proportional to 568.63, 784.48 and 358.73

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Solution

The fourth proportional to 568.63, 784.48 and 358.73 is: 494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.63 : 784.48 = 358.73 : x
  2. Step 2: Convert to fraction form
    568.63/784.48 = 358.73/x
  3. Step 3: Cross multiply
    568.63x = 784.48 × 358.73
  4. Step 4: Simplify right side
    568.63x = 281,410.79
  5. Step 5: Solve for x
    x = 281,410.79/568.63
  6. Step 6: Final answer
    x = 494.90

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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.