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Finding the Fourth Proportional to 292.71, 402.03 and 274.64

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Solution

The fourth proportional to 292.71, 402.03 and 274.64 is: 377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.71 : 402.03 = 274.64 : x
  2. Step 2: Convert to fraction form
    292.71/402.03 = 274.64/x
  3. Step 3: Cross multiply
    292.71x = 402.03 × 274.64
  4. Step 4: Simplify right side
    292.71x = 110,411.51
  5. Step 5: Solve for x
    x = 110,411.51/292.71
  6. Step 6: Final answer
    x = 377.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.