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Finding the Fourth Proportional to 497.55, 745.14 and 277.84

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Solution

The fourth proportional to 497.55, 745.14 and 277.84 is: 416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.55 : 745.14 = 277.84 : x
  2. Step 2: Convert to fraction form
    497.55/745.14 = 277.84/x
  3. Step 3: Cross multiply
    497.55x = 745.14 × 277.84
  4. Step 4: Simplify right side
    497.55x = 207,025.97
  5. Step 5: Solve for x
    x = 207,025.97/497.55
  6. Step 6: Final answer
    x = 416.09

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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.