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Finding the Fourth Proportional to 405, 558.70 and 294.64

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Solution

The fourth proportional to 405, 558.70 and 294.64 is: 406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405 : 558.70 = 294.64 : x
  2. Step 2: Convert to fraction form
    405/558.70 = 294.64/x
  3. Step 3: Cross multiply
    405x = 558.70 × 294.64
  4. Step 4: Simplify right side
    405x = 164,613.23
  5. Step 5: Solve for x
    x = 164,613.23/405
  6. Step 6: Final answer
    x = 406.45

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