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Finding the Fourth Proportional to 368.85, 509.06 and 228.95

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Solution

The fourth proportional to 368.85, 509.06 and 228.95 is: 315.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.85 : 509.06 = 228.95 : x
  2. Step 2: Convert to fraction form
    368.85/509.06 = 228.95/x
  3. Step 3: Cross multiply
    368.85x = 509.06 × 228.95
  4. Step 4: Simplify right side
    368.85x = 116,547.31
  5. Step 5: Solve for x
    x = 116,547.31/368.85
  6. Step 6: Final answer
    x = 315.97

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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.