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Finding the Fourth Proportional to 353.40, 487.20 and 275.64

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Solution

The fourth proportional to 353.40, 487.20 and 275.64 is: 380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.40 : 487.20 = 275.64 : x
  2. Step 2: Convert to fraction form
    353.40/487.20 = 275.64/x
  3. Step 3: Cross multiply
    353.40x = 487.20 × 275.64
  4. Step 4: Simplify right side
    353.40x = 134,291.81
  5. Step 5: Solve for x
    x = 134,291.81/353.40
  6. Step 6: Final answer
    x = 380.00

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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.