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Finding the Fourth Proportional to 562.49, 843.85 and 284.99

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Solution

The fourth proportional to 562.49, 843.85 and 284.99 is: 427.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.49 : 843.85 = 284.99 : x
  2. Step 2: Convert to fraction form
    562.49/843.85 = 284.99/x
  3. Step 3: Cross multiply
    562.49x = 843.85 × 284.99
  4. Step 4: Simplify right side
    562.49x = 240,488.81
  5. Step 5: Solve for x
    x = 240,488.81/562.49
  6. Step 6: Final answer
    x = 427.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.