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Finding the Fourth Proportional to 350.04, 524.24 and 297.41

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Solution

The fourth proportional to 350.04, 524.24 and 297.41 is: 445.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.04 : 524.24 = 297.41 : x
  2. Step 2: Convert to fraction form
    350.04/524.24 = 297.41/x
  3. Step 3: Cross multiply
    350.04x = 524.24 × 297.41
  4. Step 4: Simplify right side
    350.04x = 155,911.23
  5. Step 5: Solve for x
    x = 155,911.23/350.04
  6. Step 6: Final answer
    x = 445.41

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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.