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Finding the Fourth Proportional to 437.12, 602.96 and 378.32

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Solution

The fourth proportional to 437.12, 602.96 and 378.32 is: 521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.12 : 602.96 = 378.32 : x
  2. Step 2: Convert to fraction form
    437.12/602.96 = 378.32/x
  3. Step 3: Cross multiply
    437.12x = 602.96 × 378.32
  4. Step 4: Simplify right side
    437.12x = 228,111.83
  5. Step 5: Solve for x
    x = 228,111.83/437.12
  6. Step 6: Final answer
    x = 521.85

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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.