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Finding the Fourth Proportional to 480.12, 719.56 and 350.11

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Solution

The fourth proportional to 480.12, 719.56 and 350.11 is: 524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.12 : 719.56 = 350.11 : x
  2. Step 2: Convert to fraction form
    480.12/719.56 = 350.11/x
  3. Step 3: Cross multiply
    480.12x = 719.56 × 350.11
  4. Step 4: Simplify right side
    480.12x = 251,925.15
  5. Step 5: Solve for x
    x = 251,925.15/480.12
  6. Step 6: Final answer
    x = 524.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.