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Finding the Fourth Proportional to 524.08, 723.08 and 303

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Solution

The fourth proportional to 524.08, 723.08 and 303 is: 418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.08 : 723.08 = 303 : x
  2. Step 2: Convert to fraction form
    524.08/723.08 = 303/x
  3. Step 3: Cross multiply
    524.08x = 723.08 × 303
  4. Step 4: Simplify right side
    524.08x = 219,093.24
  5. Step 5: Solve for x
    x = 219,093.24/524.08
  6. Step 6: Final answer
    x = 418.05

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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.