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Finding the Fourth Proportional to 441.16, 608.91 and 266.62

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Solution

The fourth proportional to 441.16, 608.91 and 266.62 is: 368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.16 : 608.91 = 266.62 : x
  2. Step 2: Convert to fraction form
    441.16/608.91 = 266.62/x
  3. Step 3: Cross multiply
    441.16x = 608.91 × 266.62
  4. Step 4: Simplify right side
    441.16x = 162,347.58
  5. Step 5: Solve for x
    x = 162,347.58/441.16
  6. Step 6: Final answer
    x = 368.00

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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.