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Finding the Fourth Proportional to 295.88, 440.06 and 289.73

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Solution

The fourth proportional to 295.88, 440.06 and 289.73 is: 430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.88 : 440.06 = 289.73 : x
  2. Step 2: Convert to fraction form
    295.88/440.06 = 289.73/x
  3. Step 3: Cross multiply
    295.88x = 440.06 × 289.73
  4. Step 4: Simplify right side
    295.88x = 127,498.20
  5. Step 5: Solve for x
    x = 127,498.20/295.88
  6. Step 6: Final answer
    x = 430.92

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