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Finding the Fourth Proportional to 666.52, 919.86 and 430.38

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Solution

The fourth proportional to 666.52, 919.86 and 430.38 is: 593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.52 : 919.86 = 430.38 : x
  2. Step 2: Convert to fraction form
    666.52/919.86 = 430.38/x
  3. Step 3: Cross multiply
    666.52x = 919.86 × 430.38
  4. Step 4: Simplify right side
    666.52x = 395,889.35
  5. Step 5: Solve for x
    x = 395,889.35/666.52
  6. Step 6: Final answer
    x = 593.96

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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.