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Finding the Fourth Proportional to 524.32, 723.48 and 337.84

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Solution

The fourth proportional to 524.32, 723.48 and 337.84 is: 466.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.32 : 723.48 = 337.84 : x
  2. Step 2: Convert to fraction form
    524.32/723.48 = 337.84/x
  3. Step 3: Cross multiply
    524.32x = 723.48 × 337.84
  4. Step 4: Simplify right side
    524.32x = 244,420.48
  5. Step 5: Solve for x
    x = 244,420.48/524.32
  6. Step 6: Final answer
    x = 466.17

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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.