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Finding the Fourth Proportional to 734.08, 1,101.16 and 233.68

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Solution

The fourth proportional to 734.08, 1,101.16 and 233.68 is: 350.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.08 : 1,101.16 = 233.68 : x
  2. Step 2: Convert to fraction form
    734.08/1,101.16 = 233.68/x
  3. Step 3: Cross multiply
    734.08x = 1,101.16 × 233.68
  4. Step 4: Simplify right side
    734.08x = 257,319.07
  5. Step 5: Solve for x
    x = 257,319.07/734.08
  6. Step 6: Final answer
    x = 350.53

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1.5x scale

Why These Related Problems?

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