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Finding the Fourth Proportional to 586.76, 880.14 and 202

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Solution

The fourth proportional to 586.76, 880.14 and 202 is: 303

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.76 : 880.14 = 202 : x
  2. Step 2: Convert to fraction form
    586.76/880.14 = 202/x
  3. Step 3: Cross multiply
    586.76x = 880.14 × 202
  4. Step 4: Simplify right side
    586.76x = 177,788.28
  5. Step 5: Solve for x
    x = 177,788.28/586.76
  6. Step 6: Final answer
    x = 303

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