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Finding the Fourth Proportional to 566.86, 849.14 and 322.68

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Solution

The fourth proportional to 566.86, 849.14 and 322.68 is: 483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.86 : 849.14 = 322.68 : x
  2. Step 2: Convert to fraction form
    566.86/849.14 = 322.68/x
  3. Step 3: Cross multiply
    566.86x = 849.14 × 322.68
  4. Step 4: Simplify right side
    566.86x = 274,000.50
  5. Step 5: Solve for x
    x = 274,000.50/566.86
  6. Step 6: Final answer
    x = 483.37

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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.