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Finding the Fourth Proportional to 341.24, 509.02 and 303.20

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Solution

The fourth proportional to 341.24, 509.02 and 303.20 is: 452.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.24 : 509.02 = 303.20 : x
  2. Step 2: Convert to fraction form
    341.24/509.02 = 303.20/x
  3. Step 3: Cross multiply
    341.24x = 509.02 × 303.20
  4. Step 4: Simplify right side
    341.24x = 154,334.86
  5. Step 5: Solve for x
    x = 154,334.86/341.24
  6. Step 6: Final answer
    x = 452.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.