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Finding the Fourth Proportional to 409.55, 564.80 and 304.90

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Solution

The fourth proportional to 409.55, 564.80 and 304.90 is: 420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.55 : 564.80 = 304.90 : x
  2. Step 2: Convert to fraction form
    409.55/564.80 = 304.90/x
  3. Step 3: Cross multiply
    409.55x = 564.80 × 304.90
  4. Step 4: Simplify right side
    409.55x = 172,206.87
  5. Step 5: Solve for x
    x = 172,206.87/409.55
  6. Step 6: Final answer
    x = 420.48

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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.