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Finding the Fourth Proportional to 370.72, 511.33 and 260.22

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Solution

The fourth proportional to 370.72, 511.33 and 260.22 is: 358.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.72 : 511.33 = 260.22 : x
  2. Step 2: Convert to fraction form
    370.72/511.33 = 260.22/x
  3. Step 3: Cross multiply
    370.72x = 511.33 × 260.22
  4. Step 4: Simplify right side
    370.72x = 133,058.29
  5. Step 5: Solve for x
    x = 133,058.29/370.72
  6. Step 6: Final answer
    x = 358.92

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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.