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Finding the Fourth Proportional to 551.74, 761.46 and 342.05

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Solution

The fourth proportional to 551.74, 761.46 and 342.05 is: 472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.74 : 761.46 = 342.05 : x
  2. Step 2: Convert to fraction form
    551.74/761.46 = 342.05/x
  3. Step 3: Cross multiply
    551.74x = 761.46 × 342.05
  4. Step 4: Simplify right side
    551.74x = 260,457.39
  5. Step 5: Solve for x
    x = 260,457.39/551.74
  6. Step 6: Final answer
    x = 472.07

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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.