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Finding the Fourth Proportional to 921.32, 1,381.84 and 305.05

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Solution

The fourth proportional to 921.32, 1,381.84 and 305.05 is: 457.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.32 : 1,381.84 = 305.05 : x
  2. Step 2: Convert to fraction form
    921.32/1,381.84 = 305.05/x
  3. Step 3: Cross multiply
    921.32x = 1,381.84 × 305.05
  4. Step 4: Simplify right side
    921.32x = 421,530.29
  5. Step 5: Solve for x
    x = 421,530.29/921.32
  6. Step 6: Final answer
    x = 457.53

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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.