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Finding the Fourth Proportional to 409.24, 564.66 and 278.32

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Solution

The fourth proportional to 409.24, 564.66 and 278.32 is: 384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 564.66 = 278.32 : x
  2. Step 2: Convert to fraction form
    409.24/564.66 = 278.32/x
  3. Step 3: Cross multiply
    409.24x = 564.66 × 278.32
  4. Step 4: Simplify right side
    409.24x = 157,156.17
  5. Step 5: Solve for x
    x = 157,156.17/409.24
  6. Step 6: Final answer
    x = 384.02

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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.