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Finding the Fourth Proportional to 577.59, 864.84 and 395.34

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Solution

The fourth proportional to 577.59, 864.84 and 395.34 is: 591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.59 : 864.84 = 395.34 : x
  2. Step 2: Convert to fraction form
    577.59/864.84 = 395.34/x
  3. Step 3: Cross multiply
    577.59x = 864.84 × 395.34
  4. Step 4: Simplify right side
    577.59x = 341,905.85
  5. Step 5: Solve for x
    x = 341,905.85/577.59
  6. Step 6: Final answer
    x = 591.95

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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.