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Finding the Fourth Proportional to 572.70, 859.05 and 329.34

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Solution

The fourth proportional to 572.70, 859.05 and 329.34 is: 494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.70 : 859.05 = 329.34 : x
  2. Step 2: Convert to fraction form
    572.70/859.05 = 329.34/x
  3. Step 3: Cross multiply
    572.70x = 859.05 × 329.34
  4. Step 4: Simplify right side
    572.70x = 282,919.53
  5. Step 5: Solve for x
    x = 282,919.53/572.70
  6. Step 6: Final answer
    x = 494.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.