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Finding the Fourth Proportional to 390.30, 538.71 and 280.02

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Solution

The fourth proportional to 390.30, 538.71 and 280.02 is: 386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.30 : 538.71 = 280.02 : x
  2. Step 2: Convert to fraction form
    390.30/538.71 = 280.02/x
  3. Step 3: Cross multiply
    390.30x = 538.71 × 280.02
  4. Step 4: Simplify right side
    390.30x = 150,849.57
  5. Step 5: Solve for x
    x = 150,849.57/390.30
  6. Step 6: Final answer
    x = 386.50

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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.