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Finding the Fourth Proportional to 524.75, 724.16 and 303.69

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Solution

The fourth proportional to 524.75, 724.16 and 303.69 is: 419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 724.16 = 303.69 : x
  2. Step 2: Convert to fraction form
    524.75/724.16 = 303.69/x
  3. Step 3: Cross multiply
    524.75x = 724.16 × 303.69
  4. Step 4: Simplify right side
    524.75x = 219,918.63
  5. Step 5: Solve for x
    x = 219,918.63/524.75
  6. Step 6: Final answer
    x = 419.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.