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Finding the Fourth Proportional to 568.62, 847.96 and 537.90

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Solution

The fourth proportional to 568.62, 847.96 and 537.90 is: 802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.62 : 847.96 = 537.90 : x
  2. Step 2: Convert to fraction form
    568.62/847.96 = 537.90/x
  3. Step 3: Cross multiply
    568.62x = 847.96 × 537.90
  4. Step 4: Simplify right side
    568.62x = 456,117.68
  5. Step 5: Solve for x
    x = 456,117.68/568.62
  6. Step 6: Final answer
    x = 802.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.