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Finding the Fourth Proportional to 559.65, 837.93 and 422.28

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Solution

The fourth proportional to 559.65, 837.93 and 422.28 is: 632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.65 : 837.93 = 422.28 : x
  2. Step 2: Convert to fraction form
    559.65/837.93 = 422.28/x
  3. Step 3: Cross multiply
    559.65x = 837.93 × 422.28
  4. Step 4: Simplify right side
    559.65x = 353,841.09
  5. Step 5: Solve for x
    x = 353,841.09/559.65
  6. Step 6: Final answer
    x = 632.26

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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.