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Finding the Fourth Proportional to 368.58, 508.08 and 294.78

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Solution

The fourth proportional to 368.58, 508.08 and 294.78 is: 406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.58 : 508.08 = 294.78 : x
  2. Step 2: Convert to fraction form
    368.58/508.08 = 294.78/x
  3. Step 3: Cross multiply
    368.58x = 508.08 × 294.78
  4. Step 4: Simplify right side
    368.58x = 149,771.82
  5. Step 5: Solve for x
    x = 149,771.82/368.58
  6. Step 6: Final answer
    x = 406.35

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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.