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Finding the Fourth Proportional to 312.51, 430.74 and 286.36

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Solution

The fourth proportional to 312.51, 430.74 and 286.36 is: 394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.51 : 430.74 = 286.36 : x
  2. Step 2: Convert to fraction form
    312.51/430.74 = 286.36/x
  3. Step 3: Cross multiply
    312.51x = 430.74 × 286.36
  4. Step 4: Simplify right side
    312.51x = 123,346.71
  5. Step 5: Solve for x
    x = 123,346.71/312.51
  6. Step 6: Final answer
    x = 394.70

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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.