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Finding the Fourth Proportional to 438.32, 604.32 and 288.92

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Solution

The fourth proportional to 438.32, 604.32 and 288.92 is: 398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.32 : 604.32 = 288.92 : x
  2. Step 2: Convert to fraction form
    438.32/604.32 = 288.92/x
  3. Step 3: Cross multiply
    438.32x = 604.32 × 288.92
  4. Step 4: Simplify right side
    438.32x = 174,597.11
  5. Step 5: Solve for x
    x = 174,597.11/438.32
  6. Step 6: Final answer
    x = 398.34

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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.