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Finding the Fourth Proportional to 551.90, 761.64 and 303.24

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Solution

The fourth proportional to 551.90, 761.64 and 303.24 is: 418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 761.64 = 303.24 : x
  2. Step 2: Convert to fraction form
    551.90/761.64 = 303.24/x
  3. Step 3: Cross multiply
    551.90x = 761.64 × 303.24
  4. Step 4: Simplify right side
    551.90x = 230,959.71
  5. Step 5: Solve for x
    x = 230,959.71/551.90
  6. Step 6: Final answer
    x = 418.48

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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.