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Finding the Fourth Proportional to 585.12, 875.86 and 438

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Solution

The fourth proportional to 585.12, 875.86 and 438 is: 655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.12 : 875.86 = 438 : x
  2. Step 2: Convert to fraction form
    585.12/875.86 = 438/x
  3. Step 3: Cross multiply
    585.12x = 875.86 × 438
  4. Step 4: Simplify right side
    585.12x = 383,626.68
  5. Step 5: Solve for x
    x = 383,626.68/585.12
  6. Step 6: Final answer
    x = 655.64

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