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Finding the Fourth Proportional to 426.47, 587.66 and 360.05

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Solution

The fourth proportional to 426.47, 587.66 and 360.05 is: 496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 587.66 = 360.05 : x
  2. Step 2: Convert to fraction form
    426.47/587.66 = 360.05/x
  3. Step 3: Cross multiply
    426.47x = 587.66 × 360.05
  4. Step 4: Simplify right side
    426.47x = 211,582.24
  5. Step 5: Solve for x
    x = 211,582.24/426.47
  6. Step 6: Final answer
    x = 496.13

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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.