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Finding the Fourth Proportional to 438.94, 604.35 and 365.10

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Solution

The fourth proportional to 438.94, 604.35 and 365.10 is: 502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.94 : 604.35 = 365.10 : x
  2. Step 2: Convert to fraction form
    438.94/604.35 = 365.10/x
  3. Step 3: Cross multiply
    438.94x = 604.35 × 365.10
  4. Step 4: Simplify right side
    438.94x = 220,648.19
  5. Step 5: Solve for x
    x = 220,648.19/438.94
  6. Step 6: Final answer
    x = 502.68

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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.