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Finding the Fourth Proportional to 555.73, 767.00 and 369.23

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Solution

The fourth proportional to 555.73, 767.00 and 369.23 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.73 : 767.00 = 369.23 : x
  2. Step 2: Convert to fraction form
    555.73/767.00 = 369.23/x
  3. Step 3: Cross multiply
    555.73x = 767.00 × 369.23
  4. Step 4: Simplify right side
    555.73x = 283,196.50
  5. Step 5: Solve for x
    x = 283,196.50/555.73
  6. Step 6: Final answer
    x = 509.60

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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.