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Finding the Fourth Proportional to 289.63, 432.19 and 282.68

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Solution

The fourth proportional to 289.63, 432.19 and 282.68 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.63 : 432.19 = 282.68 : x
  2. Step 2: Convert to fraction form
    289.63/432.19 = 282.68/x
  3. Step 3: Cross multiply
    289.63x = 432.19 × 282.68
  4. Step 4: Simplify right side
    289.63x = 122,172.18
  5. Step 5: Solve for x
    x = 122,172.18/289.63
  6. Step 6: Final answer
    x = 421.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.