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Finding the Fourth Proportional to 935.66, 1,403.57 and 242.33

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Solution

The fourth proportional to 935.66, 1,403.57 and 242.33 is: 363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.66 : 1,403.57 = 242.33 : x
  2. Step 2: Convert to fraction form
    935.66/1,403.57 = 242.33/x
  3. Step 3: Cross multiply
    935.66x = 1,403.57 × 242.33
  4. Step 4: Simplify right side
    935.66x = 340,120.71
  5. Step 5: Solve for x
    x = 340,120.71/935.66
  6. Step 6: Final answer
    x = 363.51

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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.