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Finding the Fourth Proportional to 390.48, 538.63 and 250.54

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Solution

The fourth proportional to 390.48, 538.63 and 250.54 is: 345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.48 : 538.63 = 250.54 : x
  2. Step 2: Convert to fraction form
    390.48/538.63 = 250.54/x
  3. Step 3: Cross multiply
    390.48x = 538.63 × 250.54
  4. Step 4: Simplify right side
    390.48x = 134,949.71
  5. Step 5: Solve for x
    x = 134,949.71/390.48
  6. Step 6: Final answer
    x = 345.60

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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.