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Finding the Fourth Proportional to 358.71, 494.86 and 260.29

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Solution

The fourth proportional to 358.71, 494.86 and 260.29 is: 359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.71 : 494.86 = 260.29 : x
  2. Step 2: Convert to fraction form
    358.71/494.86 = 260.29/x
  3. Step 3: Cross multiply
    358.71x = 494.86 × 260.29
  4. Step 4: Simplify right side
    358.71x = 128,807.11
  5. Step 5: Solve for x
    x = 128,807.11/358.71
  6. Step 6: Final answer
    x = 359.08

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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.