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Finding the Fourth Proportional to 504.98, 757.70 and 369.16

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Solution

The fourth proportional to 504.98, 757.70 and 369.16 is: 553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.98 : 757.70 = 369.16 : x
  2. Step 2: Convert to fraction form
    504.98/757.70 = 369.16/x
  3. Step 3: Cross multiply
    504.98x = 757.70 × 369.16
  4. Step 4: Simplify right side
    504.98x = 279,712.25
  5. Step 5: Solve for x
    x = 279,712.25/504.98
  6. Step 6: Final answer
    x = 553.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.