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Finding the Fourth Proportional to 447.16, 669.12 and 310.18

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Solution

The fourth proportional to 447.16, 669.12 and 310.18 is: 464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.16 : 669.12 = 310.18 : x
  2. Step 2: Convert to fraction form
    447.16/669.12 = 310.18/x
  3. Step 3: Cross multiply
    447.16x = 669.12 × 310.18
  4. Step 4: Simplify right side
    447.16x = 207,547.64
  5. Step 5: Solve for x
    x = 207,547.64/447.16
  6. Step 6: Final answer
    x = 464.15

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Why These Related Problems?

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