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Finding the Fourth Proportional to 438.51, 604.35 and 314.19

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Solution

The fourth proportional to 438.51, 604.35 and 314.19 is: 433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.51 : 604.35 = 314.19 : x
  2. Step 2: Convert to fraction form
    438.51/604.35 = 314.19/x
  3. Step 3: Cross multiply
    438.51x = 604.35 × 314.19
  4. Step 4: Simplify right side
    438.51x = 189,880.73
  5. Step 5: Solve for x
    x = 189,880.73/438.51
  6. Step 6: Final answer
    x = 433.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.