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Finding the Fourth Proportional to 551.55, 761.14 and 302.83

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Solution

The fourth proportional to 551.55, 761.14 and 302.83 is: 417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.55 : 761.14 = 302.83 : x
  2. Step 2: Convert to fraction form
    551.55/761.14 = 302.83/x
  3. Step 3: Cross multiply
    551.55x = 761.14 × 302.83
  4. Step 4: Simplify right side
    551.55x = 230,496.03
  5. Step 5: Solve for x
    x = 230,496.03/551.55
  6. Step 6: Final answer
    x = 417.91

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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.