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Finding the Fourth Proportional to 365.04, 548.78 and 293.36

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Solution

The fourth proportional to 365.04, 548.78 and 293.36 is: 441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.04 : 548.78 = 293.36 : x
  2. Step 2: Convert to fraction form
    365.04/548.78 = 293.36/x
  3. Step 3: Cross multiply
    365.04x = 548.78 × 293.36
  4. Step 4: Simplify right side
    365.04x = 160,985.89
  5. Step 5: Solve for x
    x = 160,985.89/365.04
  6. Step 6: Final answer
    x = 441.01

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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.