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Finding the Fourth Proportional to 390.26, 538.64 and 265.93

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Solution

The fourth proportional to 390.26, 538.64 and 265.93 is: 367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.26 : 538.64 = 265.93 : x
  2. Step 2: Convert to fraction form
    390.26/538.64 = 265.93/x
  3. Step 3: Cross multiply
    390.26x = 538.64 × 265.93
  4. Step 4: Simplify right side
    390.26x = 143,240.54
  5. Step 5: Solve for x
    x = 143,240.54/390.26
  6. Step 6: Final answer
    x = 367.04

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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.