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Finding the Fourth Proportional to 409.32, 565.12 and 304.28

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Solution

The fourth proportional to 409.32, 565.12 and 304.28 is: 420.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.32 : 565.12 = 304.28 : x
  2. Step 2: Convert to fraction form
    409.32/565.12 = 304.28/x
  3. Step 3: Cross multiply
    409.32x = 565.12 × 304.28
  4. Step 4: Simplify right side
    409.32x = 171,957.57
  5. Step 5: Solve for x
    x = 171,957.57/409.32
  6. Step 6: Final answer
    x = 420.11

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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.