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Finding the Fourth Proportional to 387.74, 535.56 and 289.82

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Solution

The fourth proportional to 387.74, 535.56 and 289.82 is: 400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.74 : 535.56 = 289.82 : x
  2. Step 2: Convert to fraction form
    387.74/535.56 = 289.82/x
  3. Step 3: Cross multiply
    387.74x = 535.56 × 289.82
  4. Step 4: Simplify right side
    387.74x = 155,216.00
  5. Step 5: Solve for x
    x = 155,216.00/387.74
  6. Step 6: Final answer
    x = 400.31

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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.