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Finding the Fourth Proportional to 507.93, 696.89 and 494.16

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Solution

The fourth proportional to 507.93, 696.89 and 494.16 is: 678.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.93 : 696.89 = 494.16 : x
  2. Step 2: Convert to fraction form
    507.93/696.89 = 494.16/x
  3. Step 3: Cross multiply
    507.93x = 696.89 × 494.16
  4. Step 4: Simplify right side
    507.93x = 344,375.16
  5. Step 5: Solve for x
    x = 344,375.16/507.93
  6. Step 6: Final answer
    x = 678.00

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