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Finding the Fourth Proportional to 556.81, 835.75 and 268.45

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Solution

The fourth proportional to 556.81, 835.75 and 268.45 is: 402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.81 : 835.75 = 268.45 : x
  2. Step 2: Convert to fraction form
    556.81/835.75 = 268.45/x
  3. Step 3: Cross multiply
    556.81x = 835.75 × 268.45
  4. Step 4: Simplify right side
    556.81x = 224,355.33
  5. Step 5: Solve for x
    x = 224,355.33/556.81
  6. Step 6: Final answer
    x = 402.93

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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.