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Finding the Fourth Proportional to 409.47, 564.68 and 316.07

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Solution

The fourth proportional to 409.47, 564.68 and 316.07 is: 435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.47 : 564.68 = 316.07 : x
  2. Step 2: Convert to fraction form
    409.47/564.68 = 316.07/x
  3. Step 3: Cross multiply
    409.47x = 564.68 × 316.07
  4. Step 4: Simplify right side
    409.47x = 178,474.00
  5. Step 5: Solve for x
    x = 178,474.00/409.47
  6. Step 6: Final answer
    x = 435.87

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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.