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Finding the Fourth Proportional to 386.74, 534.18 and 288.82

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Solution

The fourth proportional to 386.74, 534.18 and 288.82 is: 398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.74 : 534.18 = 288.82 : x
  2. Step 2: Convert to fraction form
    386.74/534.18 = 288.82/x
  3. Step 3: Cross multiply
    386.74x = 534.18 × 288.82
  4. Step 4: Simplify right side
    386.74x = 154,281.87
  5. Step 5: Solve for x
    x = 154,281.87/386.74
  6. Step 6: Final answer
    x = 398.93

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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.