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Finding the Fourth Proportional to 1,473.82, 2,210.74 and 378.29

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Solution

The fourth proportional to 1,473.82, 2,210.74 and 378.29 is: 567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.82 : 2,210.74 = 378.29 : x
  2. Step 2: Convert to fraction form
    1,473.82/2,210.74 = 378.29/x
  3. Step 3: Cross multiply
    1,473.82x = 2,210.74 × 378.29
  4. Step 4: Simplify right side
    1,473.82x = 836,300.83
  5. Step 5: Solve for x
    x = 836,300.83/1,473.82
  6. Step 6: Final answer
    x = 567.44

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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.