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Finding the Fourth Proportional to 409.51, 565.25 and 278.59

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Solution

The fourth proportional to 409.51, 565.25 and 278.59 is: 384.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.51 : 565.25 = 278.59 : x
  2. Step 2: Convert to fraction form
    409.51/565.25 = 278.59/x
  3. Step 3: Cross multiply
    409.51x = 565.25 × 278.59
  4. Step 4: Simplify right side
    409.51x = 157,474.81
  5. Step 5: Solve for x
    x = 157,474.81/409.51
  6. Step 6: Final answer
    x = 384.54

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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.