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Finding the Fourth Proportional to 426.03, 587.93 and 260.20

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Solution

The fourth proportional to 426.03, 587.93 and 260.20 is: 359.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.03 : 587.93 = 260.20 : x
  2. Step 2: Convert to fraction form
    426.03/587.93 = 260.20/x
  3. Step 3: Cross multiply
    426.03x = 587.93 × 260.20
  4. Step 4: Simplify right side
    426.03x = 152,979.39
  5. Step 5: Solve for x
    x = 152,979.39/426.03
  6. Step 6: Final answer
    x = 359.08

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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.