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Finding the Fourth Proportional to 735.68, 1,101.72 and 350

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Solution

The fourth proportional to 735.68, 1,101.72 and 350 is: 524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.68 : 1,101.72 = 350 : x
  2. Step 2: Convert to fraction form
    735.68/1,101.72 = 350/x
  3. Step 3: Cross multiply
    735.68x = 1,101.72 × 350
  4. Step 4: Simplify right side
    735.68x = 385,602
  5. Step 5: Solve for x
    x = 385,602/735.68
  6. Step 6: Final answer
    x = 524.14

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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.