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Finding the Fourth Proportional to 734.61, 1,102.35 and 295.90

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Solution

The fourth proportional to 734.61, 1,102.35 and 295.90 is: 444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.61 : 1,102.35 = 295.90 : x
  2. Step 2: Convert to fraction form
    734.61/1,102.35 = 295.90/x
  3. Step 3: Cross multiply
    734.61x = 1,102.35 × 295.90
  4. Step 4: Simplify right side
    734.61x = 326,182.61
  5. Step 5: Solve for x
    x = 326,182.61/734.61
  6. Step 6: Final answer
    x = 444.02

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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.