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Finding the Fourth Proportional to 524.51, 723.75 and 303.48

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Solution

The fourth proportional to 524.51, 723.75 and 303.48 is: 418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.51 : 723.75 = 303.48 : x
  2. Step 2: Convert to fraction form
    524.51/723.75 = 303.48/x
  3. Step 3: Cross multiply
    524.51x = 723.75 × 303.48
  4. Step 4: Simplify right side
    524.51x = 219,645.23
  5. Step 5: Solve for x
    x = 219,645.23/524.51
  6. Step 6: Final answer
    x = 418.76

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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.