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Finding the Fourth Proportional to 568.05, 784.18 and 358.26

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Solution

The fourth proportional to 568.05, 784.18 and 358.26 is: 494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.05 : 784.18 = 358.26 : x
  2. Step 2: Convert to fraction form
    568.05/784.18 = 358.26/x
  3. Step 3: Cross multiply
    568.05x = 784.18 × 358.26
  4. Step 4: Simplify right side
    568.05x = 280,937.83
  5. Step 5: Solve for x
    x = 280,937.83/568.05
  6. Step 6: Final answer
    x = 494.57

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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.