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Finding the Fourth Proportional to 503.98, 752.33 and 467.94

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Solution

The fourth proportional to 503.98, 752.33 and 467.94 is: 698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.98 : 752.33 = 467.94 : x
  2. Step 2: Convert to fraction form
    503.98/752.33 = 467.94/x
  3. Step 3: Cross multiply
    503.98x = 752.33 × 467.94
  4. Step 4: Simplify right side
    503.98x = 352,039.20
  5. Step 5: Solve for x
    x = 352,039.20/503.98
  6. Step 6: Final answer
    x = 698.52

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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.