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Finding the Fourth Proportional to 298.59, 412.42 and 289.02

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Solution

The fourth proportional to 298.59, 412.42 and 289.02 is: 399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 412.42 = 289.02 : x
  2. Step 2: Convert to fraction form
    298.59/412.42 = 289.02/x
  3. Step 3: Cross multiply
    298.59x = 412.42 × 289.02
  4. Step 4: Simplify right side
    298.59x = 119,197.63
  5. Step 5: Solve for x
    x = 119,197.63/298.59
  6. Step 6: Final answer
    x = 399.20

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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.