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Finding the Fourth Proportional to 294.34, 405.71 and 277.93

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Solution

The fourth proportional to 294.34, 405.71 and 277.93 is: 383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.34 : 405.71 = 277.93 : x
  2. Step 2: Convert to fraction form
    294.34/405.71 = 277.93/x
  3. Step 3: Cross multiply
    294.34x = 405.71 × 277.93
  4. Step 4: Simplify right side
    294.34x = 112,757.59
  5. Step 5: Solve for x
    x = 112,757.59/294.34
  6. Step 6: Final answer
    x = 383.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.