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Finding the Fourth Proportional to 551.90, 760.38 and 365.06

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Solution

The fourth proportional to 551.90, 760.38 and 365.06 is: 502.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 760.38 = 365.06 : x
  2. Step 2: Convert to fraction form
    551.90/760.38 = 365.06/x
  3. Step 3: Cross multiply
    551.90x = 760.38 × 365.06
  4. Step 4: Simplify right side
    551.90x = 277,580.52
  5. Step 5: Solve for x
    x = 277,580.52/551.90
  6. Step 6: Final answer
    x = 502.96

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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.