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Finding the Fourth Proportional to 660.23, 910.16 and 411.42

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Solution

The fourth proportional to 660.23, 910.16 and 411.42 is: 567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.23 : 910.16 = 411.42 : x
  2. Step 2: Convert to fraction form
    660.23/910.16 = 411.42/x
  3. Step 3: Cross multiply
    660.23x = 910.16 × 411.42
  4. Step 4: Simplify right side
    660.23x = 374,458.03
  5. Step 5: Solve for x
    x = 374,458.03/660.23
  6. Step 6: Final answer
    x = 567.16

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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.