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Finding the Fourth Proportional to 504.29, 694.89 and 364.16

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Solution

The fourth proportional to 504.29, 694.89 and 364.16 is: 501.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.29 : 694.89 = 364.16 : x
  2. Step 2: Convert to fraction form
    504.29/694.89 = 364.16/x
  3. Step 3: Cross multiply
    504.29x = 694.89 × 364.16
  4. Step 4: Simplify right side
    504.29x = 253,047.67
  5. Step 5: Solve for x
    x = 253,047.67/504.29
  6. Step 6: Final answer
    x = 501.79

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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.