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Finding the Fourth Proportional to 437.54, 657.23 and 369.20

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Solution

The fourth proportional to 437.54, 657.23 and 369.20 is: 554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.54 : 657.23 = 369.20 : x
  2. Step 2: Convert to fraction form
    437.54/657.23 = 369.20/x
  3. Step 3: Cross multiply
    437.54x = 657.23 × 369.20
  4. Step 4: Simplify right side
    437.54x = 242,649.32
  5. Step 5: Solve for x
    x = 242,649.32/437.54
  6. Step 6: Final answer
    x = 554.58

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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.