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Finding the Fourth Proportional to 368.30, 508.02 and 294.50

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Solution

The fourth proportional to 368.30, 508.02 and 294.50 is: 406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.30 : 508.02 = 294.50 : x
  2. Step 2: Convert to fraction form
    368.30/508.02 = 294.50/x
  3. Step 3: Cross multiply
    368.30x = 508.02 × 294.50
  4. Step 4: Simplify right side
    368.30x = 149,611.89
  5. Step 5: Solve for x
    x = 149,611.89/368.30
  6. Step 6: Final answer
    x = 406.22

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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.