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Finding the Fourth Proportional to 370.16, 511.22 and 288.24

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Solution

The fourth proportional to 370.16, 511.22 and 288.24 is: 398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.16 : 511.22 = 288.24 : x
  2. Step 2: Convert to fraction form
    370.16/511.22 = 288.24/x
  3. Step 3: Cross multiply
    370.16x = 511.22 × 288.24
  4. Step 4: Simplify right side
    370.16x = 147,352.61
  5. Step 5: Solve for x
    x = 147,352.61/370.16
  6. Step 6: Final answer
    x = 398.08

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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.