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Finding the Fourth Proportional to 488.07, 732.14 and 241.40

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Solution

The fourth proportional to 488.07, 732.14 and 241.40 is: 362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.07 : 732.14 = 241.40 : x
  2. Step 2: Convert to fraction form
    488.07/732.14 = 241.40/x
  3. Step 3: Cross multiply
    488.07x = 732.14 × 241.40
  4. Step 4: Simplify right side
    488.07x = 176,733.73
  5. Step 5: Solve for x
    x = 176,733.73/488.07
  6. Step 6: Final answer
    x = 362.11

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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.