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Finding the Fourth Proportional to 431.33, 594.74 and 357.48

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Solution

The fourth proportional to 431.33, 594.74 and 357.48 is: 492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.33 : 594.74 = 357.48 : x
  2. Step 2: Convert to fraction form
    431.33/594.74 = 357.48/x
  3. Step 3: Cross multiply
    431.33x = 594.74 × 357.48
  4. Step 4: Simplify right side
    431.33x = 212,608.55
  5. Step 5: Solve for x
    x = 212,608.55/431.33
  6. Step 6: Final answer
    x = 492.92

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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.