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Finding the Fourth Proportional to 662.80, 914.53 and 429.79

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Solution

The fourth proportional to 662.80, 914.53 and 429.79 is: 593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.80 : 914.53 = 429.79 : x
  2. Step 2: Convert to fraction form
    662.80/914.53 = 429.79/x
  3. Step 3: Cross multiply
    662.80x = 914.53 × 429.79
  4. Step 4: Simplify right side
    662.80x = 393,055.85
  5. Step 5: Solve for x
    x = 393,055.85/662.80
  6. Step 6: Final answer
    x = 593.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.