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Finding the Fourth Proportional to 488.07, 732.30 and 293.44

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Solution

The fourth proportional to 488.07, 732.30 and 293.44 is: 440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.07 : 732.30 = 293.44 : x
  2. Step 2: Convert to fraction form
    488.07/732.30 = 293.44/x
  3. Step 3: Cross multiply
    488.07x = 732.30 × 293.44
  4. Step 4: Simplify right side
    488.07x = 214,886.11
  5. Step 5: Solve for x
    x = 214,886.11/488.07
  6. Step 6: Final answer
    x = 440.28

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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.