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Finding the Fourth Proportional to 493.64, 741.08 and 277.36

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Solution

The fourth proportional to 493.64, 741.08 and 277.36 is: 416.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.64 : 741.08 = 277.36 : x
  2. Step 2: Convert to fraction form
    493.64/741.08 = 277.36/x
  3. Step 3: Cross multiply
    493.64x = 741.08 × 277.36
  4. Step 4: Simplify right side
    493.64x = 205,545.95
  5. Step 5: Solve for x
    x = 205,545.95/493.64
  6. Step 6: Final answer
    x = 416.39

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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.