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Finding the Fourth Proportional to 601.14, 901.82 and 276.54

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Solution

The fourth proportional to 601.14, 901.82 and 276.54 is: 414.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 901.82 = 276.54 : x
  2. Step 2: Convert to fraction form
    601.14/901.82 = 276.54/x
  3. Step 3: Cross multiply
    601.14x = 901.82 × 276.54
  4. Step 4: Simplify right side
    601.14x = 249,389.30
  5. Step 5: Solve for x
    x = 249,389.30/601.14
  6. Step 6: Final answer
    x = 414.86

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Why These Related Problems?

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