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Finding the Fourth Proportional to 551.84, 761.84 and 386.56

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Solution

The fourth proportional to 551.84, 761.84 and 386.56 is: 533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.84 : 761.84 = 386.56 : x
  2. Step 2: Convert to fraction form
    551.84/761.84 = 386.56/x
  3. Step 3: Cross multiply
    551.84x = 761.84 × 386.56
  4. Step 4: Simplify right side
    551.84x = 294,496.87
  5. Step 5: Solve for x
    x = 294,496.87/551.84
  6. Step 6: Final answer
    x = 533.66

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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.