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Finding the Fourth Proportional to 399.64, 598.50 and 356.44

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Solution

The fourth proportional to 399.64, 598.50 and 356.44 is: 533.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.64 : 598.50 = 356.44 : x
  2. Step 2: Convert to fraction form
    399.64/598.50 = 356.44/x
  3. Step 3: Cross multiply
    399.64x = 598.50 × 356.44
  4. Step 4: Simplify right side
    399.64x = 213,329.34
  5. Step 5: Solve for x
    x = 213,329.34/399.64
  6. Step 6: Final answer
    x = 533.80

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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.