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Finding the Fourth Proportional to 566.99, 846.17 and 552.41

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Solution

The fourth proportional to 566.99, 846.17 and 552.41 is: 824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.99 : 846.17 = 552.41 : x
  2. Step 2: Convert to fraction form
    566.99/846.17 = 552.41/x
  3. Step 3: Cross multiply
    566.99x = 846.17 × 552.41
  4. Step 4: Simplify right side
    566.99x = 467,427.85
  5. Step 5: Solve for x
    x = 467,427.85/566.99
  6. Step 6: Final answer
    x = 824.41

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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.