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Finding the Fourth Proportional to 498, 688 and 420.24

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Solution

The fourth proportional to 498, 688 and 420.24 is: 580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    498 : 688 = 420.24 : x
  2. Step 2: Convert to fraction form
    498/688 = 420.24/x
  3. Step 3: Cross multiply
    498x = 688 × 420.24
  4. Step 4: Simplify right side
    498x = 289,125.12
  5. Step 5: Solve for x
    x = 289,125.12/498
  6. Step 6: Final answer
    x = 580.57

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