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Finding the Fourth Proportional to 341.08, 509.12 and 304.60

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Solution

The fourth proportional to 341.08, 509.12 and 304.60 is: 454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.08 : 509.12 = 304.60 : x
  2. Step 2: Convert to fraction form
    341.08/509.12 = 304.60/x
  3. Step 3: Cross multiply
    341.08x = 509.12 × 304.60
  4. Step 4: Simplify right side
    341.08x = 155,077.95
  5. Step 5: Solve for x
    x = 155,077.95/341.08
  6. Step 6: Final answer
    x = 454.67

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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.