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Finding the Fourth Proportional to 556.02, 767.23 and 369.22

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Solution

The fourth proportional to 556.02, 767.23 and 369.22 is: 509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.02 : 767.23 = 369.22 : x
  2. Step 2: Convert to fraction form
    556.02/767.23 = 369.22/x
  3. Step 3: Cross multiply
    556.02x = 767.23 × 369.22
  4. Step 4: Simplify right side
    556.02x = 283,276.66
  5. Step 5: Solve for x
    x = 283,276.66/556.02
  6. Step 6: Final answer
    x = 509.47

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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.