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Finding the Fourth Proportional to 456.94, 630.46 and 270.44

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Solution

The fourth proportional to 456.94, 630.46 and 270.44 is: 373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.94 : 630.46 = 270.44 : x
  2. Step 2: Convert to fraction form
    456.94/630.46 = 270.44/x
  3. Step 3: Cross multiply
    456.94x = 630.46 × 270.44
  4. Step 4: Simplify right side
    456.94x = 170,501.60
  5. Step 5: Solve for x
    x = 170,501.60/456.94
  6. Step 6: Final answer
    x = 373.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.