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Finding the Fourth Proportional to 424.83, 586.20 and 259.09

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Solution

The fourth proportional to 424.83, 586.20 and 259.09 is: 357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.83 : 586.20 = 259.09 : x
  2. Step 2: Convert to fraction form
    424.83/586.20 = 259.09/x
  3. Step 3: Cross multiply
    424.83x = 586.20 × 259.09
  4. Step 4: Simplify right side
    424.83x = 151,878.56
  5. Step 5: Solve for x
    x = 151,878.56/424.83
  6. Step 6: Final answer
    x = 357.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.