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Finding the Fourth Proportional to 407.88, 563.09 and 309.87

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Solution

The fourth proportional to 407.88, 563.09 and 309.87 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.88 : 563.09 = 309.87 : x
  2. Step 2: Convert to fraction form
    407.88/563.09 = 309.87/x
  3. Step 3: Cross multiply
    407.88x = 563.09 × 309.87
  4. Step 4: Simplify right side
    407.88x = 174,484.70
  5. Step 5: Solve for x
    x = 174,484.70/407.88
  6. Step 6: Final answer
    x = 427.78

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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.