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Finding the Fourth Proportional to 553.58, 829.91 and 370.42

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Solution

The fourth proportional to 553.58, 829.91 and 370.42 is: 555.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.58 : 829.91 = 370.42 : x
  2. Step 2: Convert to fraction form
    553.58/829.91 = 370.42/x
  3. Step 3: Cross multiply
    553.58x = 829.91 × 370.42
  4. Step 4: Simplify right side
    553.58x = 307,409.26
  5. Step 5: Solve for x
    x = 307,409.26/553.58
  6. Step 6: Final answer
    x = 555.31

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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.