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Finding the Fourth Proportional to 524.24, 722.88 and 445.82

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Solution

The fourth proportional to 524.24, 722.88 and 445.82 is: 614.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 722.88 = 445.82 : x
  2. Step 2: Convert to fraction form
    524.24/722.88 = 445.82/x
  3. Step 3: Cross multiply
    524.24x = 722.88 × 445.82
  4. Step 4: Simplify right side
    524.24x = 322,270.75
  5. Step 5: Solve for x
    x = 322,270.75/524.24
  6. Step 6: Final answer
    x = 614.74

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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.