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Finding the Fourth Proportional to 586.76, 808.92 and 420.66

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Solution

The fourth proportional to 586.76, 808.92 and 420.66 is: 579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.76 : 808.92 = 420.66 : x
  2. Step 2: Convert to fraction form
    586.76/808.92 = 420.66/x
  3. Step 3: Cross multiply
    586.76x = 808.92 × 420.66
  4. Step 4: Simplify right side
    586.76x = 340,280.29
  5. Step 5: Solve for x
    x = 340,280.29/586.76
  6. Step 6: Final answer
    x = 579.94

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