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Finding the Fourth Proportional to 647.86, 972.45 and 465.58

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Solution

The fourth proportional to 647.86, 972.45 and 465.58 is: 698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.86 : 972.45 = 465.58 : x
  2. Step 2: Convert to fraction form
    647.86/972.45 = 465.58/x
  3. Step 3: Cross multiply
    647.86x = 972.45 × 465.58
  4. Step 4: Simplify right side
    647.86x = 452,753.27
  5. Step 5: Solve for x
    x = 452,753.27/647.86
  6. Step 6: Final answer
    x = 698.84

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