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Finding the Fourth Proportional to 456.87, 685.94 and 349.95

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Solution

The fourth proportional to 456.87, 685.94 and 349.95 is: 525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.87 : 685.94 = 349.95 : x
  2. Step 2: Convert to fraction form
    456.87/685.94 = 349.95/x
  3. Step 3: Cross multiply
    456.87x = 685.94 × 349.95
  4. Step 4: Simplify right side
    456.87x = 240,045.53
  5. Step 5: Solve for x
    x = 240,045.53/456.87
  6. Step 6: Final answer
    x = 525.41

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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.