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Finding the Fourth Proportional to 556.61, 834.84 and 282.87

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Solution

The fourth proportional to 556.61, 834.84 and 282.87 is: 424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.61 : 834.84 = 282.87 : x
  2. Step 2: Convert to fraction form
    556.61/834.84 = 282.87/x
  3. Step 3: Cross multiply
    556.61x = 834.84 × 282.87
  4. Step 4: Simplify right side
    556.61x = 236,151.19
  5. Step 5: Solve for x
    x = 236,151.19/556.61
  6. Step 6: Final answer
    x = 424.27

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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.