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Finding the Fourth Proportional to 559.30, 837.40 and 284.04

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Solution

The fourth proportional to 559.30, 837.40 and 284.04 is: 425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.30 : 837.40 = 284.04 : x
  2. Step 2: Convert to fraction form
    559.30/837.40 = 284.04/x
  3. Step 3: Cross multiply
    559.30x = 837.40 × 284.04
  4. Step 4: Simplify right side
    559.30x = 237,855.10
  5. Step 5: Solve for x
    x = 237,855.10/559.30
  6. Step 6: Final answer
    x = 425.27

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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.