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Finding the Fourth Proportional to 483.64, 724.74 and 361.72

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Solution

The fourth proportional to 483.64, 724.74 and 361.72 is: 542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.64 : 724.74 = 361.72 : x
  2. Step 2: Convert to fraction form
    483.64/724.74 = 361.72/x
  3. Step 3: Cross multiply
    483.64x = 724.74 × 361.72
  4. Step 4: Simplify right side
    483.64x = 262,152.95
  5. Step 5: Solve for x
    x = 262,152.95/483.64
  6. Step 6: Final answer
    x = 542.04

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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.