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Finding the Fourth Proportional to 594.70, 892.05 and 400.30

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Solution

The fourth proportional to 594.70, 892.05 and 400.30 is: 600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.70 : 892.05 = 400.30 : x
  2. Step 2: Convert to fraction form
    594.70/892.05 = 400.30/x
  3. Step 3: Cross multiply
    594.70x = 892.05 × 400.30
  4. Step 4: Simplify right side
    594.70x = 357,087.62
  5. Step 5: Solve for x
    x = 357,087.62/594.70
  6. Step 6: Final answer
    x = 600.45

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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.