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Finding the Fourth Proportional to 491.25, 677.87 and 278.57

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Solution

The fourth proportional to 491.25, 677.87 and 278.57 is: 384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.25 : 677.87 = 278.57 : x
  2. Step 2: Convert to fraction form
    491.25/677.87 = 278.57/x
  3. Step 3: Cross multiply
    491.25x = 677.87 × 278.57
  4. Step 4: Simplify right side
    491.25x = 188,835.19
  5. Step 5: Solve for x
    x = 188,835.19/491.25
  6. Step 6: Final answer
    x = 384.40

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Why These Related Problems?

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