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Finding the Fourth Proportional to 313.12, 469.76 and 307.68

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Solution

The fourth proportional to 313.12, 469.76 and 307.68 is: 461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.12 : 469.76 = 307.68 : x
  2. Step 2: Convert to fraction form
    313.12/469.76 = 307.68/x
  3. Step 3: Cross multiply
    313.12x = 469.76 × 307.68
  4. Step 4: Simplify right side
    313.12x = 144,535.76
  5. Step 5: Solve for x
    x = 144,535.76/313.12
  6. Step 6: Final answer
    x = 461.60

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