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Finding the Fourth Proportional to 438.19, 604.08 and 313.80

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Solution

The fourth proportional to 438.19, 604.08 and 313.80 is: 432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.19 : 604.08 = 313.80 : x
  2. Step 2: Convert to fraction form
    438.19/604.08 = 313.80/x
  3. Step 3: Cross multiply
    438.19x = 604.08 × 313.80
  4. Step 4: Simplify right side
    438.19x = 189,560.30
  5. Step 5: Solve for x
    x = 189,560.30/438.19
  6. Step 6: Final answer
    x = 432.60

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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.