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Finding the Fourth Proportional to 565.05, 846.90 and 256.59

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Solution

The fourth proportional to 565.05, 846.90 and 256.59 is: 384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.05 : 846.90 = 256.59 : x
  2. Step 2: Convert to fraction form
    565.05/846.90 = 256.59/x
  3. Step 3: Cross multiply
    565.05x = 846.90 × 256.59
  4. Step 4: Simplify right side
    565.05x = 217,306.07
  5. Step 5: Solve for x
    x = 217,306.07/565.05
  6. Step 6: Final answer
    x = 384.58

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