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Finding the Fourth Proportional to 551.39, 760.82 and 315.23

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Solution

The fourth proportional to 551.39, 760.82 and 315.23 is: 434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.39 : 760.82 = 315.23 : x
  2. Step 2: Convert to fraction form
    551.39/760.82 = 315.23/x
  3. Step 3: Cross multiply
    551.39x = 760.82 × 315.23
  4. Step 4: Simplify right side
    551.39x = 239,827.91
  5. Step 5: Solve for x
    x = 239,827.91/551.39
  6. Step 6: Final answer
    x = 434.96

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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.