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Finding the Fourth Proportional to 495.63, 683.55 and 468.27

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Solution

The fourth proportional to 495.63, 683.55 and 468.27 is: 645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.63 : 683.55 = 468.27 : x
  2. Step 2: Convert to fraction form
    495.63/683.55 = 468.27/x
  3. Step 3: Cross multiply
    495.63x = 683.55 × 468.27
  4. Step 4: Simplify right side
    495.63x = 320,085.96
  5. Step 5: Solve for x
    x = 320,085.96/495.63
  6. Step 6: Final answer
    x = 645.82

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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.