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Finding the Fourth Proportional to 556.64, 835.16 and 282.86

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Solution

The fourth proportional to 556.64, 835.16 and 282.86 is: 424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.64 : 835.16 = 282.86 : x
  2. Step 2: Convert to fraction form
    556.64/835.16 = 282.86/x
  3. Step 3: Cross multiply
    556.64x = 835.16 × 282.86
  4. Step 4: Simplify right side
    556.64x = 236,227.77
  5. Step 5: Solve for x
    x = 236,227.77/556.64
  6. Step 6: Final answer
    x = 424.39

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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.