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Finding the Fourth Proportional to 556.11, 767.93 and 360.09

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Solution

The fourth proportional to 556.11, 767.93 and 360.09 is: 497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.11 : 767.93 = 360.09 : x
  2. Step 2: Convert to fraction form
    556.11/767.93 = 360.09/x
  3. Step 3: Cross multiply
    556.11x = 767.93 × 360.09
  4. Step 4: Simplify right side
    556.11x = 276,522.11
  5. Step 5: Solve for x
    x = 276,522.11/556.11
  6. Step 6: Final answer
    x = 497.24

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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.