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Finding the Fourth Proportional to 666.63, 920.13 and 418.08

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Solution

The fourth proportional to 666.63, 920.13 and 418.08 is: 577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.63 : 920.13 = 418.08 : x
  2. Step 2: Convert to fraction form
    666.63/920.13 = 418.08/x
  3. Step 3: Cross multiply
    666.63x = 920.13 × 418.08
  4. Step 4: Simplify right side
    666.63x = 384,687.95
  5. Step 5: Solve for x
    x = 384,687.95/666.63
  6. Step 6: Final answer
    x = 577.06

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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.