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Finding the Fourth Proportional to 487.45, 731.30 and 366.01

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Solution

The fourth proportional to 487.45, 731.30 and 366.01 is: 549.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.45 : 731.30 = 366.01 : x
  2. Step 2: Convert to fraction form
    487.45/731.30 = 366.01/x
  3. Step 3: Cross multiply
    487.45x = 731.30 × 366.01
  4. Step 4: Simplify right side
    487.45x = 267,661.28
  5. Step 5: Solve for x
    x = 267,661.28/487.45
  6. Step 6: Final answer
    x = 549.11

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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.