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Finding the Fourth Proportional to 556.66, 833.69 and 282.08

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Solution

The fourth proportional to 556.66, 833.69 and 282.08 is: 422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.66 : 833.69 = 282.08 : x
  2. Step 2: Convert to fraction form
    556.66/833.69 = 282.08/x
  3. Step 3: Cross multiply
    556.66x = 833.69 × 282.08
  4. Step 4: Simplify right side
    556.66x = 235,165.86
  5. Step 5: Solve for x
    x = 235,165.86/556.66
  6. Step 6: Final answer
    x = 422.46

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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.