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Finding the Fourth Proportional to 524.62, 723.94 and 303.72

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Solution

The fourth proportional to 524.62, 723.94 and 303.72 is: 419.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.62 : 723.94 = 303.72 : x
  2. Step 2: Convert to fraction form
    524.62/723.94 = 303.72/x
  3. Step 3: Cross multiply
    524.62x = 723.94 × 303.72
  4. Step 4: Simplify right side
    524.62x = 219,875.06
  5. Step 5: Solve for x
    x = 219,875.06/524.62
  6. Step 6: Final answer
    x = 419.11

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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.