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Finding the Fourth Proportional to 295.53, 406.98 and 289.16

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Solution

The fourth proportional to 295.53, 406.98 and 289.16 is: 398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.53 : 406.98 = 289.16 : x
  2. Step 2: Convert to fraction form
    295.53/406.98 = 289.16/x
  3. Step 3: Cross multiply
    295.53x = 406.98 × 289.16
  4. Step 4: Simplify right side
    295.53x = 117,682.34
  5. Step 5: Solve for x
    x = 117,682.34/295.53
  6. Step 6: Final answer
    x = 398.21

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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.