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Finding the Fourth Proportional to 497.25, 746.16 and 277.91

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Solution

The fourth proportional to 497.25, 746.16 and 277.91 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.25 : 746.16 = 277.91 : x
  2. Step 2: Convert to fraction form
    497.25/746.16 = 277.91/x
  3. Step 3: Cross multiply
    497.25x = 746.16 × 277.91
  4. Step 4: Simplify right side
    497.25x = 207,361.59
  5. Step 5: Solve for x
    x = 207,361.59/497.25
  6. Step 6: Final answer
    x = 417.02

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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.