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Finding the Fourth Proportional to 370.50, 511 and 230.70

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Solution

The fourth proportional to 370.50, 511 and 230.70 is: 318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.50 : 511 = 230.70 : x
  2. Step 2: Convert to fraction form
    370.50/511 = 230.70/x
  3. Step 3: Cross multiply
    370.50x = 511 × 230.70
  4. Step 4: Simplify right side
    370.50x = 117,887.70
  5. Step 5: Solve for x
    x = 117,887.70/370.50
  6. Step 6: Final answer
    x = 318.19

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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.