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Finding the Fourth Proportional to 524.82, 724.26 and 303.80

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Solution

The fourth proportional to 524.82, 724.26 and 303.80 is: 419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.82 : 724.26 = 303.80 : x
  2. Step 2: Convert to fraction form
    524.82/724.26 = 303.80/x
  3. Step 3: Cross multiply
    524.82x = 724.26 × 303.80
  4. Step 4: Simplify right side
    524.82x = 220,030.19
  5. Step 5: Solve for x
    x = 220,030.19/524.82
  6. Step 6: Final answer
    x = 419.25

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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.