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Finding the Fourth Proportional to 390.51, 538.89 and 278.68

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Solution

The fourth proportional to 390.51, 538.89 and 278.68 is: 384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.51 : 538.89 = 278.68 : x
  2. Step 2: Convert to fraction form
    390.51/538.89 = 278.68/x
  3. Step 3: Cross multiply
    390.51x = 538.89 × 278.68
  4. Step 4: Simplify right side
    390.51x = 150,177.87
  5. Step 5: Solve for x
    x = 150,177.87/390.51
  6. Step 6: Final answer
    x = 384.57

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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.