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Finding the Fourth Proportional to 401.64, 554.41 and 260.04

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Solution

The fourth proportional to 401.64, 554.41 and 260.04 is: 358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.64 : 554.41 = 260.04 : x
  2. Step 2: Convert to fraction form
    401.64/554.41 = 260.04/x
  3. Step 3: Cross multiply
    401.64x = 554.41 × 260.04
  4. Step 4: Simplify right side
    401.64x = 144,169.17
  5. Step 5: Solve for x
    x = 144,169.17/401.64
  6. Step 6: Final answer
    x = 358.95

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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.