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Finding the Fourth Proportional to 438.08, 604.84 and 305.26

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Solution

The fourth proportional to 438.08, 604.84 and 305.26 is: 421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.08 : 604.84 = 305.26 : x
  2. Step 2: Convert to fraction form
    438.08/604.84 = 305.26/x
  3. Step 3: Cross multiply
    438.08x = 604.84 × 305.26
  4. Step 4: Simplify right side
    438.08x = 184,631.18
  5. Step 5: Solve for x
    x = 184,631.18/438.08
  6. Step 6: Final answer
    x = 421.45

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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.