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Finding the Fourth Proportional to 370.47, 511.30 and 204.70

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Solution

The fourth proportional to 370.47, 511.30 and 204.70 is: 282.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.47 : 511.30 = 204.70 : x
  2. Step 2: Convert to fraction form
    370.47/511.30 = 204.70/x
  3. Step 3: Cross multiply
    370.47x = 511.30 × 204.70
  4. Step 4: Simplify right side
    370.47x = 104,663.11
  5. Step 5: Solve for x
    x = 104,663.11/370.47
  6. Step 6: Final answer
    x = 282.51

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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.