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Finding the Fourth Proportional to 568.52, 784.36 and 358.60

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Solution

The fourth proportional to 568.52, 784.36 and 358.60 is: 494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.52 : 784.36 = 358.60 : x
  2. Step 2: Convert to fraction form
    568.52/784.36 = 358.60/x
  3. Step 3: Cross multiply
    568.52x = 784.36 × 358.60
  4. Step 4: Simplify right side
    568.52x = 281,271.50
  5. Step 5: Solve for x
    x = 281,271.50/568.52
  6. Step 6: Final answer
    x = 494.74

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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.