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Finding the Fourth Proportional to 652.53, 978.53 and 242.00

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Solution

The fourth proportional to 652.53, 978.53 and 242.00 is: 362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.53 : 978.53 = 242.00 : x
  2. Step 2: Convert to fraction form
    652.53/978.53 = 242.00/x
  3. Step 3: Cross multiply
    652.53x = 978.53 × 242.00
  4. Step 4: Simplify right side
    652.53x = 236,798.16
  5. Step 5: Solve for x
    x = 236,798.16/652.53
  6. Step 6: Final answer
    x = 362.89

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