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Finding the Fourth Proportional to 379.77, 524.00 and 230.34

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Solution

The fourth proportional to 379.77, 524.00 and 230.34 is: 317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.77 : 524.00 = 230.34 : x
  2. Step 2: Convert to fraction form
    379.77/524.00 = 230.34/x
  3. Step 3: Cross multiply
    379.77x = 524.00 × 230.34
  4. Step 4: Simplify right side
    379.77x = 120,697.01
  5. Step 5: Solve for x
    x = 120,697.01/379.77
  6. Step 6: Final answer
    x = 317.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.