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Finding the Fourth Proportional to 524.14, 723.30 and 303.08

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Solution

The fourth proportional to 524.14, 723.30 and 303.08 is: 418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.14 : 723.30 = 303.08 : x
  2. Step 2: Convert to fraction form
    524.14/723.30 = 303.08/x
  3. Step 3: Cross multiply
    524.14x = 723.30 × 303.08
  4. Step 4: Simplify right side
    524.14x = 219,219.57
  5. Step 5: Solve for x
    x = 219,219.57/524.14
  6. Step 6: Final answer
    x = 418.25

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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.