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Finding the Fourth Proportional to 528.30, 729.18 and 362.70

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Solution

The fourth proportional to 528.30, 729.18 and 362.70 is: 500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.30 : 729.18 = 362.70 : x
  2. Step 2: Convert to fraction form
    528.30/729.18 = 362.70/x
  3. Step 3: Cross multiply
    528.30x = 729.18 × 362.70
  4. Step 4: Simplify right side
    528.30x = 264,473.59
  5. Step 5: Solve for x
    x = 264,473.59/528.30
  6. Step 6: Final answer
    x = 500.61

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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.