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Finding the Fourth Proportional to 572.62, 857.43 and 398.77

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Solution

The fourth proportional to 572.62, 857.43 and 398.77 is: 597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.62 : 857.43 = 398.77 : x
  2. Step 2: Convert to fraction form
    572.62/857.43 = 398.77/x
  3. Step 3: Cross multiply
    572.62x = 857.43 × 398.77
  4. Step 4: Simplify right side
    572.62x = 341,917.36
  5. Step 5: Solve for x
    x = 341,917.36/572.62
  6. Step 6: Final answer
    x = 597.11

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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.