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Finding the Fourth Proportional to 288.00, 429.94 and 277.87

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Solution

The fourth proportional to 288.00, 429.94 and 277.87 is: 414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.00 : 429.94 = 277.87 : x
  2. Step 2: Convert to fraction form
    288.00/429.94 = 277.87/x
  3. Step 3: Cross multiply
    288.00x = 429.94 × 277.87
  4. Step 4: Simplify right side
    288.00x = 119,467.43
  5. Step 5: Solve for x
    x = 119,467.43/288.00
  6. Step 6: Final answer
    x = 414.82

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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.