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Finding the Fourth Proportional to 524.64, 723.98 and 349.96

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Solution

The fourth proportional to 524.64, 723.98 and 349.96 is: 482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.64 : 723.98 = 349.96 : x
  2. Step 2: Convert to fraction form
    524.64/723.98 = 349.96/x
  3. Step 3: Cross multiply
    524.64x = 723.98 × 349.96
  4. Step 4: Simplify right side
    524.64x = 253,364.04
  5. Step 5: Solve for x
    x = 253,364.04/524.64
  6. Step 6: Final answer
    x = 482.93

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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.