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Finding the Fourth Proportional to 288.24, 432.66 and 210.89

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Solution

The fourth proportional to 288.24, 432.66 and 210.89 is: 316.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 432.66 = 210.89 : x
  2. Step 2: Convert to fraction form
    288.24/432.66 = 210.89/x
  3. Step 3: Cross multiply
    288.24x = 432.66 × 210.89
  4. Step 4: Simplify right side
    288.24x = 91,241.50
  5. Step 5: Solve for x
    x = 91,241.50/288.24
  6. Step 6: Final answer
    x = 316.55

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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.