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Finding the Fourth Proportional to 294.36, 404.06 and 260.88

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Solution

The fourth proportional to 294.36, 404.06 and 260.88 is: 358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.36 : 404.06 = 260.88 : x
  2. Step 2: Convert to fraction form
    294.36/404.06 = 260.88/x
  3. Step 3: Cross multiply
    294.36x = 404.06 × 260.88
  4. Step 4: Simplify right side
    294.36x = 105,411.17
  5. Step 5: Solve for x
    x = 105,411.17/294.36
  6. Step 6: Final answer
    x = 358.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.