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Finding the Fourth Proportional to 554.67, 765.26 and 380.31

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Solution

The fourth proportional to 554.67, 765.26 and 380.31 is: 524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.67 : 765.26 = 380.31 : x
  2. Step 2: Convert to fraction form
    554.67/765.26 = 380.31/x
  3. Step 3: Cross multiply
    554.67x = 765.26 × 380.31
  4. Step 4: Simplify right side
    554.67x = 291,034.13
  5. Step 5: Solve for x
    x = 291,034.13/554.67
  6. Step 6: Final answer
    x = 524.70

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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.