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Finding the Fourth Proportional to 491.04, 677.64 and 269.99

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Solution

The fourth proportional to 491.04, 677.64 and 269.99 is: 372.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.04 : 677.64 = 269.99 : x
  2. Step 2: Convert to fraction form
    491.04/677.64 = 269.99/x
  3. Step 3: Cross multiply
    491.04x = 677.64 × 269.99
  4. Step 4: Simplify right side
    491.04x = 182,956.02
  5. Step 5: Solve for x
    x = 182,956.02/491.04
  6. Step 6: Final answer
    x = 372.59

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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.