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Finding the Fourth Proportional to 400.16, 599.76 and 352.16

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Solution

The fourth proportional to 400.16, 599.76 and 352.16 is: 527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.16 : 599.76 = 352.16 : x
  2. Step 2: Convert to fraction form
    400.16/599.76 = 352.16/x
  3. Step 3: Cross multiply
    400.16x = 599.76 × 352.16
  4. Step 4: Simplify right side
    400.16x = 211,211.48
  5. Step 5: Solve for x
    x = 211,211.48/400.16
  6. Step 6: Final answer
    x = 527.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.