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Finding the Fourth Proportional to 556.92, 835.18 and 283.25

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Solution

The fourth proportional to 556.92, 835.18 and 283.25 is: 424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.92 : 835.18 = 283.25 : x
  2. Step 2: Convert to fraction form
    556.92/835.18 = 283.25/x
  3. Step 3: Cross multiply
    556.92x = 835.18 × 283.25
  4. Step 4: Simplify right side
    556.92x = 236,566.11
  5. Step 5: Solve for x
    x = 236,566.11/556.92
  6. Step 6: Final answer
    x = 424.78

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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.