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Finding the Fourth Proportional to 551.19, 825.03 and 306.98

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Solution

The fourth proportional to 551.19, 825.03 and 306.98 is: 459.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.19 : 825.03 = 306.98 : x
  2. Step 2: Convert to fraction form
    551.19/825.03 = 306.98/x
  3. Step 3: Cross multiply
    551.19x = 825.03 × 306.98
  4. Step 4: Simplify right side
    551.19x = 253,263.58
  5. Step 5: Solve for x
    x = 253,263.58/551.19
  6. Step 6: Final answer
    x = 459.49

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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.