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Finding the Fourth Proportional to 666.31, 919.94 and 430.36

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Solution

The fourth proportional to 666.31, 919.94 and 430.36 is: 594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.31 : 919.94 = 430.36 : x
  2. Step 2: Convert to fraction form
    666.31/919.94 = 430.36/x
  3. Step 3: Cross multiply
    666.31x = 919.94 × 430.36
  4. Step 4: Simplify right side
    666.31x = 395,905.38
  5. Step 5: Solve for x
    x = 395,905.38/666.31
  6. Step 6: Final answer
    x = 594.18

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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.