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Finding the Fourth Proportional to 364.02, 543.46 and 309.36

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Solution

The fourth proportional to 364.02, 543.46 and 309.36 is: 461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.02 : 543.46 = 309.36 : x
  2. Step 2: Convert to fraction form
    364.02/543.46 = 309.36/x
  3. Step 3: Cross multiply
    364.02x = 543.46 × 309.36
  4. Step 4: Simplify right side
    364.02x = 168,124.79
  5. Step 5: Solve for x
    x = 168,124.79/364.02
  6. Step 6: Final answer
    x = 461.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.