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Finding the Fourth Proportional to 551.77, 761.45 and 342.05

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Solution

The fourth proportional to 551.77, 761.45 and 342.05 is: 472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.77 : 761.45 = 342.05 : x
  2. Step 2: Convert to fraction form
    551.77/761.45 = 342.05/x
  3. Step 3: Cross multiply
    551.77x = 761.45 × 342.05
  4. Step 4: Simplify right side
    551.77x = 260,448.46
  5. Step 5: Solve for x
    x = 260,448.46/551.77
  6. Step 6: Final answer
    x = 472.03

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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.