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Finding the Fourth Proportional to 551.52, 825.84 and 388.32

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Solution

The fourth proportional to 551.52, 825.84 and 388.32 is: 581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.52 : 825.84 = 388.32 : x
  2. Step 2: Convert to fraction form
    551.52/825.84 = 388.32/x
  3. Step 3: Cross multiply
    551.52x = 825.84 × 388.32
  4. Step 4: Simplify right side
    551.52x = 320,690.19
  5. Step 5: Solve for x
    x = 320,690.19/551.52
  6. Step 6: Final answer
    x = 581.47

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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.