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Finding the Fourth Proportional to 420.18, 579.47 and 287.34

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Solution

The fourth proportional to 420.18, 579.47 and 287.34 is: 396.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.18 : 579.47 = 287.34 : x
  2. Step 2: Convert to fraction form
    420.18/579.47 = 287.34/x
  3. Step 3: Cross multiply
    420.18x = 579.47 × 287.34
  4. Step 4: Simplify right side
    420.18x = 166,500.58
  5. Step 5: Solve for x
    x = 166,500.58/420.18
  6. Step 6: Final answer
    x = 396.26

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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.