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Finding the Fourth Proportional to 320.66, 482.91 and 269.63

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Solution

The fourth proportional to 320.66, 482.91 and 269.63 is: 406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.66 : 482.91 = 269.63 : x
  2. Step 2: Convert to fraction form
    320.66/482.91 = 269.63/x
  3. Step 3: Cross multiply
    320.66x = 482.91 × 269.63
  4. Step 4: Simplify right side
    320.66x = 130,206.93
  5. Step 5: Solve for x
    x = 130,206.93/320.66
  6. Step 6: Final answer
    x = 406.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.