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Finding the Fourth Proportional to 287.61, 430.32 and 218.91

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Solution

The fourth proportional to 287.61, 430.32 and 218.91 is: 327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.61 : 430.32 = 218.91 : x
  2. Step 2: Convert to fraction form
    287.61/430.32 = 218.91/x
  3. Step 3: Cross multiply
    287.61x = 430.32 × 218.91
  4. Step 4: Simplify right side
    287.61x = 94,201.35
  5. Step 5: Solve for x
    x = 94,201.35/287.61
  6. Step 6: Final answer
    x = 327.53

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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.