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Finding the Fourth Proportional to 409.02, 564.66 and 298.65

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Solution

The fourth proportional to 409.02, 564.66 and 298.65 is: 412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.02 : 564.66 = 298.65 : x
  2. Step 2: Convert to fraction form
    409.02/564.66 = 298.65/x
  3. Step 3: Cross multiply
    409.02x = 564.66 × 298.65
  4. Step 4: Simplify right side
    409.02x = 168,635.71
  5. Step 5: Solve for x
    x = 168,635.71/409.02
  6. Step 6: Final answer
    x = 412.29

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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.