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Finding the Fourth Proportional to 312.16, 468 and 296.32

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Solution

The fourth proportional to 312.16, 468 and 296.32 is: 444.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.16 : 468 = 296.32 : x
  2. Step 2: Convert to fraction form
    312.16/468 = 296.32/x
  3. Step 3: Cross multiply
    312.16x = 468 × 296.32
  4. Step 4: Simplify right side
    312.16x = 138,677.76
  5. Step 5: Solve for x
    x = 138,677.76/312.16
  6. Step 6: Final answer
    x = 444.25

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