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Finding the Fourth Proportional to 503.16, 689.34 and 483.72

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Solution

The fourth proportional to 503.16, 689.34 and 483.72 is: 662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 689.34 = 483.72 : x
  2. Step 2: Convert to fraction form
    503.16/689.34 = 483.72/x
  3. Step 3: Cross multiply
    503.16x = 689.34 × 483.72
  4. Step 4: Simplify right side
    503.16x = 333,447.54
  5. Step 5: Solve for x
    x = 333,447.54/503.16
  6. Step 6: Final answer
    x = 662.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.