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Finding the Fourth Proportional to 485.52, 668.70 and 432.78

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Solution

The fourth proportional to 485.52, 668.70 and 432.78 is: 596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.52 : 668.70 = 432.78 : x
  2. Step 2: Convert to fraction form
    485.52/668.70 = 432.78/x
  3. Step 3: Cross multiply
    485.52x = 668.70 × 432.78
  4. Step 4: Simplify right side
    485.52x = 289,399.99
  5. Step 5: Solve for x
    x = 289,399.99/485.52
  6. Step 6: Final answer
    x = 596.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.