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Finding the Fourth Proportional to 551.48, 761.05 and 302.83

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Solution

The fourth proportional to 551.48, 761.05 and 302.83 is: 417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.48 : 761.05 = 302.83 : x
  2. Step 2: Convert to fraction form
    551.48/761.05 = 302.83/x
  3. Step 3: Cross multiply
    551.48x = 761.05 × 302.83
  4. Step 4: Simplify right side
    551.48x = 230,467.25
  5. Step 5: Solve for x
    x = 230,467.25/551.48
  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.