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Finding the Fourth Proportional to 563.93, 845.90 and 304.14

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Solution

The fourth proportional to 563.93, 845.90 and 304.14 is: 456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.93 : 845.90 = 304.14 : x
  2. Step 2: Convert to fraction form
    563.93/845.90 = 304.14/x
  3. Step 3: Cross multiply
    563.93x = 845.90 × 304.14
  4. Step 4: Simplify right side
    563.93x = 257,272.03
  5. Step 5: Solve for x
    x = 257,272.03/563.93
  6. Step 6: Final answer
    x = 456.21

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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.