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Finding the Fourth Proportional to 503.19, 754.77 and 490.78

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Solution

The fourth proportional to 503.19, 754.77 and 490.78 is: 736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.19 : 754.77 = 490.78 : x
  2. Step 2: Convert to fraction form
    503.19/754.77 = 490.78/x
  3. Step 3: Cross multiply
    503.19x = 754.77 × 490.78
  4. Step 4: Simplify right side
    503.19x = 370,424.13
  5. Step 5: Solve for x
    x = 370,424.13/503.19
  6. Step 6: Final answer
    x = 736.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.