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Finding the Fourth Proportional to 495.24, 683.76 and 464.27

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Solution

The fourth proportional to 495.24, 683.76 and 464.27 is: 640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.24 : 683.76 = 464.27 : x
  2. Step 2: Convert to fraction form
    495.24/683.76 = 464.27/x
  3. Step 3: Cross multiply
    495.24x = 683.76 × 464.27
  4. Step 4: Simplify right side
    495.24x = 317,445.84
  5. Step 5: Solve for x
    x = 317,445.84/495.24
  6. Step 6: Final answer
    x = 640.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.