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Finding the Fourth Proportional to 595.34, 892.66 and 400.56

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Solution

The fourth proportional to 595.34, 892.66 and 400.56 is: 600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.34 : 892.66 = 400.56 : x
  2. Step 2: Convert to fraction form
    595.34/892.66 = 400.56/x
  3. Step 3: Cross multiply
    595.34x = 892.66 × 400.56
  4. Step 4: Simplify right side
    595.34x = 357,563.89
  5. Step 5: Solve for x
    x = 357,563.89/595.34
  6. Step 6: Final answer
    x = 600.60

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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.