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Finding the Fourth Proportional to 524.19, 723.27 and 349.50

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Solution

The fourth proportional to 524.19, 723.27 and 349.50 is: 482.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.19 : 723.27 = 349.50 : x
  2. Step 2: Convert to fraction form
    524.19/723.27 = 349.50/x
  3. Step 3: Cross multiply
    524.19x = 723.27 × 349.50
  4. Step 4: Simplify right side
    524.19x = 252,782.87
  5. Step 5: Solve for x
    x = 252,782.87/524.19
  6. Step 6: Final answer
    x = 482.24

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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.