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Finding the Fourth Proportional to 388.72, 536.68 and 264.64

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Solution

The fourth proportional to 388.72, 536.68 and 264.64 is: 365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.72 : 536.68 = 264.64 : x
  2. Step 2: Convert to fraction form
    388.72/536.68 = 264.64/x
  3. Step 3: Cross multiply
    388.72x = 536.68 × 264.64
  4. Step 4: Simplify right side
    388.72x = 142,027.00
  5. Step 5: Solve for x
    x = 142,027.00/388.72
  6. Step 6: Final answer
    x = 365.37

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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.