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Finding the Fourth Proportional to 432.88, 596.16 and 405.08

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Solution

The fourth proportional to 432.88, 596.16 and 405.08 is: 557.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.88 : 596.16 = 405.08 : x
  2. Step 2: Convert to fraction form
    432.88/596.16 = 405.08/x
  3. Step 3: Cross multiply
    432.88x = 596.16 × 405.08
  4. Step 4: Simplify right side
    432.88x = 241,492.49
  5. Step 5: Solve for x
    x = 241,492.49/432.88
  6. Step 6: Final answer
    x = 557.87

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