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Finding the Fourth Proportional to 529.14, 729.64 and 361.11

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Solution

The fourth proportional to 529.14, 729.64 and 361.11 is: 497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.14 : 729.64 = 361.11 : x
  2. Step 2: Convert to fraction form
    529.14/729.64 = 361.11/x
  3. Step 3: Cross multiply
    529.14x = 729.64 × 361.11
  4. Step 4: Simplify right side
    529.14x = 263,476.66
  5. Step 5: Solve for x
    x = 263,476.66/529.14
  6. Step 6: Final answer
    x = 497.94

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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.