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Finding the Fourth Proportional to 487.08, 730.98 and 365.58

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Solution

The fourth proportional to 487.08, 730.98 and 365.58 is: 548.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.08 : 730.98 = 365.58 : x
  2. Step 2: Convert to fraction form
    487.08/730.98 = 365.58/x
  3. Step 3: Cross multiply
    487.08x = 730.98 × 365.58
  4. Step 4: Simplify right side
    487.08x = 267,231.67
  5. Step 5: Solve for x
    x = 267,231.67/487.08
  6. Step 6: Final answer
    x = 548.64

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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.