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Finding the Fourth Proportional to 666.12, 919.08 and 430.14

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Solution

The fourth proportional to 666.12, 919.08 and 430.14 is: 593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.12 : 919.08 = 430.14 : x
  2. Step 2: Convert to fraction form
    666.12/919.08 = 430.14/x
  3. Step 3: Cross multiply
    666.12x = 919.08 × 430.14
  4. Step 4: Simplify right side
    666.12x = 395,333.07
  5. Step 5: Solve for x
    x = 395,333.07/666.12
  6. Step 6: Final answer
    x = 593.49

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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.