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Finding the Fourth Proportional to 409.42, 565.27 and 316.00

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Solution

The fourth proportional to 409.42, 565.27 and 316.00 is: 436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.42 : 565.27 = 316.00 : x
  2. Step 2: Convert to fraction form
    409.42/565.27 = 316.00/x
  3. Step 3: Cross multiply
    409.42x = 565.27 × 316.00
  4. Step 4: Simplify right side
    409.42x = 178,625.24
  5. Step 5: Solve for x
    x = 178,625.24/409.42
  6. Step 6: Final answer
    x = 436.29

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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.