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Finding the Fourth Proportional to 438.37, 604.76 and 288.96

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Solution

The fourth proportional to 438.37, 604.76 and 288.96 is: 398.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.37 : 604.76 = 288.96 : x
  2. Step 2: Convert to fraction form
    438.37/604.76 = 288.96/x
  3. Step 3: Cross multiply
    438.37x = 604.76 × 288.96
  4. Step 4: Simplify right side
    438.37x = 174,746.98
  5. Step 5: Solve for x
    x = 174,746.98/438.37
  6. Step 6: Final answer
    x = 398.63

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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.