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Finding the Fourth Proportional to 401.91, 554.71 and 260.30

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Solution

The fourth proportional to 401.91, 554.71 and 260.30 is: 359.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.91 : 554.71 = 260.30 : x
  2. Step 2: Convert to fraction form
    401.91/554.71 = 260.30/x
  3. Step 3: Cross multiply
    401.91x = 554.71 × 260.30
  4. Step 4: Simplify right side
    401.91x = 144,388.24
  5. Step 5: Solve for x
    x = 144,388.24/401.91
  6. Step 6: Final answer
    x = 359.26

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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.