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Finding the Fourth Proportional to 551.62, 761.20 and 302.94

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Solution

The fourth proportional to 551.62, 761.20 and 302.94 is: 418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.62 : 761.20 = 302.94 : x
  2. Step 2: Convert to fraction form
    551.62/761.20 = 302.94/x
  3. Step 3: Cross multiply
    551.62x = 761.20 × 302.94
  4. Step 4: Simplify right side
    551.62x = 230,597.93
  5. Step 5: Solve for x
    x = 230,597.93/551.62
  6. Step 6: Final answer
    x = 418.04

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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.