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Finding the Fourth Proportional to 389.27, 535.71 and 362.54

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Solution

The fourth proportional to 389.27, 535.71 and 362.54 is: 498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.27 : 535.71 = 362.54 : x
  2. Step 2: Convert to fraction form
    389.27/535.71 = 362.54/x
  3. Step 3: Cross multiply
    389.27x = 535.71 × 362.54
  4. Step 4: Simplify right side
    389.27x = 194,219.00
  5. Step 5: Solve for x
    x = 194,219.00/389.27
  6. Step 6: Final answer
    x = 498.93

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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.