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Finding the Fourth Proportional to 390.51, 538.94 and 215.87

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Solution

The fourth proportional to 390.51, 538.94 and 215.87 is: 297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.51 : 538.94 = 215.87 : x
  2. Step 2: Convert to fraction form
    390.51/538.94 = 215.87/x
  3. Step 3: Cross multiply
    390.51x = 538.94 × 215.87
  4. Step 4: Simplify right side
    390.51x = 116,338.82
  5. Step 5: Solve for x
    x = 116,338.82/390.51
  6. Step 6: Final answer
    x = 297.92

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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.