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Finding the Fourth Proportional to 556.67, 767.35 and 369.81

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Solution

The fourth proportional to 556.67, 767.35 and 369.81 is: 509.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.67 : 767.35 = 369.81 : x
  2. Step 2: Convert to fraction form
    556.67/767.35 = 369.81/x
  3. Step 3: Cross multiply
    556.67x = 767.35 × 369.81
  4. Step 4: Simplify right side
    556.67x = 283,772.78
  5. Step 5: Solve for x
    x = 283,772.78/556.67
  6. Step 6: Final answer
    x = 509.77

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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.