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Finding the Fourth Proportional to 662.94, 914.07 and 429.66

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Solution

The fourth proportional to 662.94, 914.07 and 429.66 is: 592.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.94 : 914.07 = 429.66 : x
  2. Step 2: Convert to fraction form
    662.94/914.07 = 429.66/x
  3. Step 3: Cross multiply
    662.94x = 914.07 × 429.66
  4. Step 4: Simplify right side
    662.94x = 392,739.32
  5. Step 5: Solve for x
    x = 392,739.32/662.94
  6. Step 6: Final answer
    x = 592.42

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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.