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Finding the Fourth Proportional to 294.47, 441.38 and 260.31

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Solution

The fourth proportional to 294.47, 441.38 and 260.31 is: 390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 441.38 = 260.31 : x
  2. Step 2: Convert to fraction form
    294.47/441.38 = 260.31/x
  3. Step 3: Cross multiply
    294.47x = 441.38 × 260.31
  4. Step 4: Simplify right side
    294.47x = 114,897.93
  5. Step 5: Solve for x
    x = 114,897.93/294.47
  6. Step 6: Final answer
    x = 390.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.