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Finding the Fourth Proportional to 1,476.57, 2,214.83 and 380.93

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Solution

The fourth proportional to 1,476.57, 2,214.83 and 380.93 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.57 : 2,214.83 = 380.93 : x
  2. Step 2: Convert to fraction form
    1,476.57/2,214.83 = 380.93/x
  3. Step 3: Cross multiply
    1,476.57x = 2,214.83 × 380.93
  4. Step 4: Simplify right side
    1,476.57x = 843,685.07
  5. Step 5: Solve for x
    x = 843,685.07/1,476.57
  6. Step 6: Final answer
    x = 571.38

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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.