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Finding the Fourth Proportional to 370.38, 511.44 and 260.10

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Solution

The fourth proportional to 370.38, 511.44 and 260.10 is: 359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.38 : 511.44 = 260.10 : x
  2. Step 2: Convert to fraction form
    370.38/511.44 = 260.10/x
  3. Step 3: Cross multiply
    370.38x = 511.44 × 260.10
  4. Step 4: Simplify right side
    370.38x = 133,025.54
  5. Step 5: Solve for x
    x = 133,025.54/370.38
  6. Step 6: Final answer
    x = 359.16

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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.