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Finding the Fourth Proportional to 504.82, 756.54 and 454.24

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Solution

The fourth proportional to 504.82, 756.54 and 454.24 is: 680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.82 : 756.54 = 454.24 : x
  2. Step 2: Convert to fraction form
    504.82/756.54 = 454.24/x
  3. Step 3: Cross multiply
    504.82x = 756.54 × 454.24
  4. Step 4: Simplify right side
    504.82x = 343,651.68
  5. Step 5: Solve for x
    x = 343,651.68/504.82
  6. Step 6: Final answer
    x = 680.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.