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Finding the Fourth Proportional to 554.94, 765.82 and 380.34

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Solution

The fourth proportional to 554.94, 765.82 and 380.34 is: 524.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.94 : 765.82 = 380.34 : x
  2. Step 2: Convert to fraction form
    554.94/765.82 = 380.34/x
  3. Step 3: Cross multiply
    554.94x = 765.82 × 380.34
  4. Step 4: Simplify right side
    554.94x = 291,271.98
  5. Step 5: Solve for x
    x = 291,271.98/554.94
  6. Step 6: Final answer
    x = 524.87

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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.