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Finding the Fourth Proportional to 342.12, 509.63 and 330.28

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Solution

The fourth proportional to 342.12, 509.63 and 330.28 is: 491.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 509.63 = 330.28 : x
  2. Step 2: Convert to fraction form
    342.12/509.63 = 330.28/x
  3. Step 3: Cross multiply
    342.12x = 509.63 × 330.28
  4. Step 4: Simplify right side
    342.12x = 168,320.60
  5. Step 5: Solve for x
    x = 168,320.60/342.12
  6. Step 6: Final answer
    x = 491.99

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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.