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Finding the Fourth Proportional to 524.67, 723.77 and 350.05

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Solution

The fourth proportional to 524.67, 723.77 and 350.05 is: 482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.67 : 723.77 = 350.05 : x
  2. Step 2: Convert to fraction form
    524.67/723.77 = 350.05/x
  3. Step 3: Cross multiply
    524.67x = 723.77 × 350.05
  4. Step 4: Simplify right side
    524.67x = 253,355.69
  5. Step 5: Solve for x
    x = 253,355.69/524.67
  6. Step 6: Final answer
    x = 482.89

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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.