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Finding the Fourth Proportional to 399.04, 597.92 and 204.16

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Solution

The fourth proportional to 399.04, 597.92 and 204.16 is: 305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.04 : 597.92 = 204.16 : x
  2. Step 2: Convert to fraction form
    399.04/597.92 = 204.16/x
  3. Step 3: Cross multiply
    399.04x = 597.92 × 204.16
  4. Step 4: Simplify right side
    399.04x = 122,071.35
  5. Step 5: Solve for x
    x = 122,071.35/399.04
  6. Step 6: Final answer
    x = 305.91

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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.