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Finding the Fourth Proportional to 420.59, 630.86 and 259.27

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Solution

The fourth proportional to 420.59, 630.86 and 259.27 is: 388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.59 : 630.86 = 259.27 : x
  2. Step 2: Convert to fraction form
    420.59/630.86 = 259.27/x
  3. Step 3: Cross multiply
    420.59x = 630.86 × 259.27
  4. Step 4: Simplify right side
    420.59x = 163,560.20
  5. Step 5: Solve for x
    x = 163,560.20/420.59
  6. Step 6: Final answer
    x = 388.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.