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Finding the Fourth Proportional to 568.52, 784.32 and 358.62

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Solution

The fourth proportional to 568.52, 784.32 and 358.62 is: 494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.52 : 784.32 = 358.62 : x
  2. Step 2: Convert to fraction form
    568.52/784.32 = 358.62/x
  3. Step 3: Cross multiply
    568.52x = 784.32 × 358.62
  4. Step 4: Simplify right side
    568.52x = 281,271.05
  5. Step 5: Solve for x
    x = 281,271.05/568.52
  6. Step 6: Final answer
    x = 494.75

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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.