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Finding the Fourth Proportional to 426.02, 587.99 and 260.33

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Solution

The fourth proportional to 426.02, 587.99 and 260.33 is: 359.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.02 : 587.99 = 260.33 : x
  2. Step 2: Convert to fraction form
    426.02/587.99 = 260.33/x
  3. Step 3: Cross multiply
    426.02x = 587.99 × 260.33
  4. Step 4: Simplify right side
    426.02x = 153,070.14
  5. Step 5: Solve for x
    x = 153,070.14/426.02
  6. Step 6: Final answer
    x = 359.30

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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.