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Finding the Fourth Proportional to 368.32, 508.80 and 294.52

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Solution

The fourth proportional to 368.32, 508.80 and 294.52 is: 406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.32 : 508.80 = 294.52 : x
  2. Step 2: Convert to fraction form
    368.32/508.80 = 294.52/x
  3. Step 3: Cross multiply
    368.32x = 508.80 × 294.52
  4. Step 4: Simplify right side
    368.32x = 149,851.78
  5. Step 5: Solve for x
    x = 149,851.78/368.32
  6. Step 6: Final answer
    x = 406.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.