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Finding the Fourth Proportional to 488.02, 727.73 and 483.63

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Solution

The fourth proportional to 488.02, 727.73 and 483.63 is: 721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.02 : 727.73 = 483.63 : x
  2. Step 2: Convert to fraction form
    488.02/727.73 = 483.63/x
  3. Step 3: Cross multiply
    488.02x = 727.73 × 483.63
  4. Step 4: Simplify right side
    488.02x = 351,949.64
  5. Step 5: Solve for x
    x = 351,949.64/488.02
  6. Step 6: Final answer
    x = 721.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.