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Finding the Fourth Proportional to 508.42, 697.59 and 494.64

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Solution

The fourth proportional to 508.42, 697.59 and 494.64 is: 678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.42 : 697.59 = 494.64 : x
  2. Step 2: Convert to fraction form
    508.42/697.59 = 494.64/x
  3. Step 3: Cross multiply
    508.42x = 697.59 × 494.64
  4. Step 4: Simplify right side
    508.42x = 345,055.92
  5. Step 5: Solve for x
    x = 345,055.92/508.42
  6. Step 6: Final answer
    x = 678.68

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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.