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Finding the Fourth Proportional to 370.27, 510.72 and 258.06

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Solution

The fourth proportional to 370.27, 510.72 and 258.06 is: 355.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.27 : 510.72 = 258.06 : x
  2. Step 2: Convert to fraction form
    370.27/510.72 = 258.06/x
  3. Step 3: Cross multiply
    370.27x = 510.72 × 258.06
  4. Step 4: Simplify right side
    370.27x = 131,796.40
  5. Step 5: Solve for x
    x = 131,796.40/370.27
  6. Step 6: Final answer
    x = 355.95

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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.