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Finding the Fourth Proportional to 504.85, 696.72 and 380.28

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Solution

The fourth proportional to 504.85, 696.72 and 380.28 is: 524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.85 : 696.72 = 380.28 : x
  2. Step 2: Convert to fraction form
    504.85/696.72 = 380.28/x
  3. Step 3: Cross multiply
    504.85x = 696.72 × 380.28
  4. Step 4: Simplify right side
    504.85x = 264,948.68
  5. Step 5: Solve for x
    x = 264,948.68/504.85
  6. Step 6: Final answer
    x = 524.81

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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.