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Finding the Fourth Proportional to 551.98, 761.54 and 331.00

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Solution

The fourth proportional to 551.98, 761.54 and 331.00 is: 456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.98 : 761.54 = 331.00 : x
  2. Step 2: Convert to fraction form
    551.98/761.54 = 331.00/x
  3. Step 3: Cross multiply
    551.98x = 761.54 × 331.00
  4. Step 4: Simplify right side
    551.98x = 252,066.18
  5. Step 5: Solve for x
    x = 252,066.18/551.98
  6. Step 6: Final answer
    x = 456.66

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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.