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Finding the Fourth Proportional to 568.26, 848.58 and 564.87

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Solution

The fourth proportional to 568.26, 848.58 and 564.87 is: 843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.26 : 848.58 = 564.87 : x
  2. Step 2: Convert to fraction form
    568.26/848.58 = 564.87/x
  3. Step 3: Cross multiply
    568.26x = 848.58 × 564.87
  4. Step 4: Simplify right side
    568.26x = 479,337.38
  5. Step 5: Solve for x
    x = 479,337.38/568.26
  6. Step 6: Final answer
    x = 843.52

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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.