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Finding the Fourth Proportional to 278.59, 417.94 and 83.58

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Solution

The fourth proportional to 278.59, 417.94 and 83.58 is: 125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.59 : 417.94 = 83.58 : x
  2. Step 2: Convert to fraction form
    278.59/417.94 = 83.58/x
  3. Step 3: Cross multiply
    278.59x = 417.94 × 83.58
  4. Step 4: Simplify right side
    278.59x = 34,931.22
  5. Step 5: Solve for x
    x = 34,931.22/278.59
  6. Step 6: Final answer
    x = 125.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.