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Finding the Fourth Proportional to 921.26, 1,381.76 and 304.81

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Solution

The fourth proportional to 921.26, 1,381.76 and 304.81 is: 457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.26 : 1,381.76 = 304.81 : x
  2. Step 2: Convert to fraction form
    921.26/1,381.76 = 304.81/x
  3. Step 3: Cross multiply
    921.26x = 1,381.76 × 304.81
  4. Step 4: Simplify right side
    921.26x = 421,171.57
  5. Step 5: Solve for x
    x = 421,171.57/921.26
  6. Step 6: Final answer
    x = 457.17

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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.