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Finding the Fourth Proportional to 512.36, 707.30 and 401.64

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Solution

The fourth proportional to 512.36, 707.30 and 401.64 is: 554.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.36 : 707.30 = 401.64 : x
  2. Step 2: Convert to fraction form
    512.36/707.30 = 401.64/x
  3. Step 3: Cross multiply
    512.36x = 707.30 × 401.64
  4. Step 4: Simplify right side
    512.36x = 284,079.97
  5. Step 5: Solve for x
    x = 284,079.97/512.36
  6. Step 6: Final answer
    x = 554.45

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Why These Related Problems?

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