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Finding the Fourth Proportional to 551.99, 761.73 and 319.12

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Solution

The fourth proportional to 551.99, 761.73 and 319.12 is: 440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.99 : 761.73 = 319.12 : x
  2. Step 2: Convert to fraction form
    551.99/761.73 = 319.12/x
  3. Step 3: Cross multiply
    551.99x = 761.73 × 319.12
  4. Step 4: Simplify right side
    551.99x = 243,083.28
  5. Step 5: Solve for x
    x = 243,083.28/551.99
  6. Step 6: Final answer
    x = 440.38

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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.