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Finding the Fourth Proportional to 309.01, 463.53 and 254.81

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Solution

The fourth proportional to 309.01, 463.53 and 254.81 is: 382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.01 : 463.53 = 254.81 : x
  2. Step 2: Convert to fraction form
    309.01/463.53 = 254.81/x
  3. Step 3: Cross multiply
    309.01x = 463.53 × 254.81
  4. Step 4: Simplify right side
    309.01x = 118,109.76
  5. Step 5: Solve for x
    x = 118,109.76/309.01
  6. Step 6: Final answer
    x = 382.22

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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.