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Finding the Fourth Proportional to 320.77, 482.23 and 253.11

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Solution

The fourth proportional to 320.77, 482.23 and 253.11 is: 380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.77 : 482.23 = 253.11 : x
  2. Step 2: Convert to fraction form
    320.77/482.23 = 253.11/x
  3. Step 3: Cross multiply
    320.77x = 482.23 × 253.11
  4. Step 4: Simplify right side
    320.77x = 122,053.56
  5. Step 5: Solve for x
    x = 122,053.56/320.77
  6. Step 6: Final answer
    x = 380.51

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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.