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Finding the Fourth Proportional to 340.56, 469.74 and 229.98

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Solution

The fourth proportional to 340.56, 469.74 and 229.98 is: 317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.56 : 469.74 = 229.98 : x
  2. Step 2: Convert to fraction form
    340.56/469.74 = 229.98/x
  3. Step 3: Cross multiply
    340.56x = 469.74 × 229.98
  4. Step 4: Simplify right side
    340.56x = 108,030.81
  5. Step 5: Solve for x
    x = 108,030.81/340.56
  6. Step 6: Final answer
    x = 317.22

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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.