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Finding the Fourth Proportional to 309.56, 466.71 and 288.68

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Solution

The fourth proportional to 309.56, 466.71 and 288.68 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 466.71 = 288.68 : x
  2. Step 2: Convert to fraction form
    309.56/466.71 = 288.68/x
  3. Step 3: Cross multiply
    309.56x = 466.71 × 288.68
  4. Step 4: Simplify right side
    309.56x = 134,729.84
  5. Step 5: Solve for x
    x = 134,729.84/309.56
  6. Step 6: Final answer
    x = 435.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.