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Finding the Fourth Proportional to 456.68, 685.30 and 294.68

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Solution

The fourth proportional to 456.68, 685.30 and 294.68 is: 442.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 685.30 = 294.68 : x
  2. Step 2: Convert to fraction form
    456.68/685.30 = 294.68/x
  3. Step 3: Cross multiply
    456.68x = 685.30 × 294.68
  4. Step 4: Simplify right side
    456.68x = 201,944.20
  5. Step 5: Solve for x
    x = 201,944.20/456.68
  6. Step 6: Final answer
    x = 442.20

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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.