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Finding the Fourth Proportional to 556.24, 835.32 and 460.24

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Solution

The fourth proportional to 556.24, 835.32 and 460.24 is: 691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.24 : 835.32 = 460.24 : x
  2. Step 2: Convert to fraction form
    556.24/835.32 = 460.24/x
  3. Step 3: Cross multiply
    556.24x = 835.32 × 460.24
  4. Step 4: Simplify right side
    556.24x = 384,447.68
  5. Step 5: Solve for x
    x = 384,447.68/556.24
  6. Step 6: Final answer
    x = 691.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.