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Finding the Fourth Proportional to 556.29, 767.67 and 367.01

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Solution

The fourth proportional to 556.29, 767.67 and 367.01 is: 506.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.29 : 767.67 = 367.01 : x
  2. Step 2: Convert to fraction form
    556.29/767.67 = 367.01/x
  3. Step 3: Cross multiply
    556.29x = 767.67 × 367.01
  4. Step 4: Simplify right side
    556.29x = 281,740.23
  5. Step 5: Solve for x
    x = 281,740.23/556.29
  6. Step 6: Final answer
    x = 506.46

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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.