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Finding the Fourth Proportional to 407.66, 563.34 and 309.24

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Solution

The fourth proportional to 407.66, 563.34 and 309.24 is: 427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.66 : 563.34 = 309.24 : x
  2. Step 2: Convert to fraction form
    407.66/563.34 = 309.24/x
  3. Step 3: Cross multiply
    407.66x = 563.34 × 309.24
  4. Step 4: Simplify right side
    407.66x = 174,207.26
  5. Step 5: Solve for x
    x = 174,207.26/407.66
  6. Step 6: Final answer
    x = 427.33

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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.