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Finding the Fourth Proportional to 287.91, 432.33 and 273.30

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Solution

The fourth proportional to 287.91, 432.33 and 273.30 is: 410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.91 : 432.33 = 273.30 : x
  2. Step 2: Convert to fraction form
    287.91/432.33 = 273.30/x
  3. Step 3: Cross multiply
    287.91x = 432.33 × 273.30
  4. Step 4: Simplify right side
    287.91x = 118,155.79
  5. Step 5: Solve for x
    x = 118,155.79/287.91
  6. Step 6: Final answer
    x = 410.39

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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.