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Finding the Fourth Proportional to 500.04, 690.73 and 453.47

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Solution

The fourth proportional to 500.04, 690.73 and 453.47 is: 626.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.04 : 690.73 = 453.47 : x
  2. Step 2: Convert to fraction form
    500.04/690.73 = 453.47/x
  3. Step 3: Cross multiply
    500.04x = 690.73 × 453.47
  4. Step 4: Simplify right side
    500.04x = 313,220.75
  5. Step 5: Solve for x
    x = 313,220.75/500.04
  6. Step 6: Final answer
    x = 626.39

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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.