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Finding the Fourth Proportional to 409.04, 564.52 and 278.32

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Solution

The fourth proportional to 409.04, 564.52 and 278.32 is: 384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.04 : 564.52 = 278.32 : x
  2. Step 2: Convert to fraction form
    409.04/564.52 = 278.32/x
  3. Step 3: Cross multiply
    409.04x = 564.52 × 278.32
  4. Step 4: Simplify right side
    409.04x = 157,117.21
  5. Step 5: Solve for x
    x = 157,117.21/409.04
  6. Step 6: Final answer
    x = 384.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.