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Finding the Fourth Proportional to 551.84, 825.24 and 497.24

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Solution

The fourth proportional to 551.84, 825.24 and 497.24 is: 743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.84 : 825.24 = 497.24 : x
  2. Step 2: Convert to fraction form
    551.84/825.24 = 497.24/x
  3. Step 3: Cross multiply
    551.84x = 825.24 × 497.24
  4. Step 4: Simplify right side
    551.84x = 410,342.34
  5. Step 5: Solve for x
    x = 410,342.34/551.84
  6. Step 6: Final answer
    x = 743.59

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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.