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Finding the Fourth Proportional to 524.50, 723.94 and 317.62

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Solution

The fourth proportional to 524.50, 723.94 and 317.62 is: 438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.50 : 723.94 = 317.62 : x
  2. Step 2: Convert to fraction form
    524.50/723.94 = 317.62/x
  3. Step 3: Cross multiply
    524.50x = 723.94 × 317.62
  4. Step 4: Simplify right side
    524.50x = 229,937.82
  5. Step 5: Solve for x
    x = 229,937.82/524.50
  6. Step 6: Final answer
    x = 438.39

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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.