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Finding the Fourth Proportional to 559.52, 840.06 and 285.80

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Solution

The fourth proportional to 559.52, 840.06 and 285.80 is: 429.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.52 : 840.06 = 285.80 : x
  2. Step 2: Convert to fraction form
    559.52/840.06 = 285.80/x
  3. Step 3: Cross multiply
    559.52x = 840.06 × 285.80
  4. Step 4: Simplify right side
    559.52x = 240,089.15
  5. Step 5: Solve for x
    x = 240,089.15/559.52
  6. Step 6: Final answer
    x = 429.10

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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.