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Finding the Fourth Proportional to 415.76, 623.64 and 307.76

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Solution

The fourth proportional to 415.76, 623.64 and 307.76 is: 461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 623.64 = 307.76 : x
  2. Step 2: Convert to fraction form
    415.76/623.64 = 307.76/x
  3. Step 3: Cross multiply
    415.76x = 623.64 × 307.76
  4. Step 4: Simplify right side
    415.76x = 191,931.45
  5. Step 5: Solve for x
    x = 191,931.45/415.76
  6. Step 6: Final answer
    x = 461.64

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