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Finding the Fourth Proportional to 368.79, 509.05 and 237.80

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Solution

The fourth proportional to 368.79, 509.05 and 237.80 is: 328.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.79 : 509.05 = 237.80 : x
  2. Step 2: Convert to fraction form
    368.79/509.05 = 237.80/x
  3. Step 3: Cross multiply
    368.79x = 509.05 × 237.80
  4. Step 4: Simplify right side
    368.79x = 121,049.46
  5. Step 5: Solve for x
    x = 121,049.46/368.79
  6. Step 6: Final answer
    x = 328.23

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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.