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Finding the Fourth Proportional to 522.86, 784.62 and 340.00

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Solution

The fourth proportional to 522.86, 784.62 and 340.00 is: 510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.86 : 784.62 = 340.00 : x
  2. Step 2: Convert to fraction form
    522.86/784.62 = 340.00/x
  3. Step 3: Cross multiply
    522.86x = 784.62 × 340.00
  4. Step 4: Simplify right side
    522.86x = 266,768.84
  5. Step 5: Solve for x
    x = 266,768.84/522.86
  6. Step 6: Final answer
    x = 510.22

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