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Finding the Fourth Proportional to 556.52, 833.20 and 409.28

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Solution

The fourth proportional to 556.52, 833.20 and 409.28 is: 612.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.52 : 833.20 = 409.28 : x
  2. Step 2: Convert to fraction form
    556.52/833.20 = 409.28/x
  3. Step 3: Cross multiply
    556.52x = 833.20 × 409.28
  4. Step 4: Simplify right side
    556.52x = 341,012.10
  5. Step 5: Solve for x
    x = 341,012.10/556.52
  6. Step 6: Final answer
    x = 612.76

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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.