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Finding the Fourth Proportional to 368.02, 503.46 and 366.46

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Solution

The fourth proportional to 368.02, 503.46 and 366.46 is: 501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.02 : 503.46 = 366.46 : x
  2. Step 2: Convert to fraction form
    368.02/503.46 = 366.46/x
  3. Step 3: Cross multiply
    368.02x = 503.46 × 366.46
  4. Step 4: Simplify right side
    368.02x = 184,497.95
  5. Step 5: Solve for x
    x = 184,497.95/368.02
  6. Step 6: Final answer
    x = 501.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.