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Finding the Fourth Proportional to 443.69, 612.64 and 320.15

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Solution

The fourth proportional to 443.69, 612.64 and 320.15 is: 442.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.69 : 612.64 = 320.15 : x
  2. Step 2: Convert to fraction form
    443.69/612.64 = 320.15/x
  3. Step 3: Cross multiply
    443.69x = 612.64 × 320.15
  4. Step 4: Simplify right side
    443.69x = 196,132.83
  5. Step 5: Solve for x
    x = 196,132.83/443.69
  6. Step 6: Final answer
    x = 442.05

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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.