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Finding the Fourth Proportional to 370.54, 511.41 and 215.30

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Solution

The fourth proportional to 370.54, 511.41 and 215.30 is: 297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.54 : 511.41 = 215.30 : x
  2. Step 2: Convert to fraction form
    370.54/511.41 = 215.30/x
  3. Step 3: Cross multiply
    370.54x = 511.41 × 215.30
  4. Step 4: Simplify right side
    370.54x = 110,106.57
  5. Step 5: Solve for x
    x = 110,106.57/370.54
  6. Step 6: Final answer
    x = 297.15

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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.