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Finding the Fourth Proportional to 295.47, 406.87 and 289.08

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Solution

The fourth proportional to 295.47, 406.87 and 289.08 is: 398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.47 : 406.87 = 289.08 : x
  2. Step 2: Convert to fraction form
    295.47/406.87 = 289.08/x
  3. Step 3: Cross multiply
    295.47x = 406.87 × 289.08
  4. Step 4: Simplify right side
    295.47x = 117,617.98
  5. Step 5: Solve for x
    x = 117,617.98/295.47
  6. Step 6: Final answer
    x = 398.07

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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.