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Finding the Fourth Proportional to 585.77, 878.66 and 152.93

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Solution

The fourth proportional to 585.77, 878.66 and 152.93 is: 229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.77 : 878.66 = 152.93 : x
  2. Step 2: Convert to fraction form
    585.77/878.66 = 152.93/x
  3. Step 3: Cross multiply
    585.77x = 878.66 × 152.93
  4. Step 4: Simplify right side
    585.77x = 134,373.47
  5. Step 5: Solve for x
    x = 134,373.47/585.77
  6. Step 6: Final answer
    x = 229.40

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