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Finding the Fourth Proportional to 487.31, 728.74 and 364

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Solution

The fourth proportional to 487.31, 728.74 and 364 is: 544.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.31 : 728.74 = 364 : x
  2. Step 2: Convert to fraction form
    487.31/728.74 = 364/x
  3. Step 3: Cross multiply
    487.31x = 728.74 × 364
  4. Step 4: Simplify right side
    487.31x = 265,261.36
  5. Step 5: Solve for x
    x = 265,261.36/487.31
  6. Step 6: Final answer
    x = 544.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.