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Finding the Fourth Proportional to 555.72, 766.74 and 369.36

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Solution

The fourth proportional to 555.72, 766.74 and 369.36 is: 509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.72 : 766.74 = 369.36 : x
  2. Step 2: Convert to fraction form
    555.72/766.74 = 369.36/x
  3. Step 3: Cross multiply
    555.72x = 766.74 × 369.36
  4. Step 4: Simplify right side
    555.72x = 283,203.09
  5. Step 5: Solve for x
    x = 283,203.09/555.72
  6. Step 6: Final answer
    x = 509.61

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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.