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Finding the Fourth Proportional to 407.83, 562.74 and 242.02

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Solution

The fourth proportional to 407.83, 562.74 and 242.02 is: 333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.83 : 562.74 = 242.02 : x
  2. Step 2: Convert to fraction form
    407.83/562.74 = 242.02/x
  3. Step 3: Cross multiply
    407.83x = 562.74 × 242.02
  4. Step 4: Simplify right side
    407.83x = 136,194.33
  5. Step 5: Solve for x
    x = 136,194.33/407.83
  6. Step 6: Final answer
    x = 333.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.