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Finding the Fourth Proportional to 734.16, 1,101.08 and 368.70

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Solution

The fourth proportional to 734.16, 1,101.08 and 368.70 is: 552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.16 : 1,101.08 = 368.70 : x
  2. Step 2: Convert to fraction form
    734.16/1,101.08 = 368.70/x
  3. Step 3: Cross multiply
    734.16x = 1,101.08 × 368.70
  4. Step 4: Simplify right side
    734.16x = 405,968.20
  5. Step 5: Solve for x
    x = 405,968.20/734.16
  6. Step 6: Final answer
    x = 552.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.