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Finding the Fourth Proportional to 399.84, 598.96 and 312.20

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Solution

The fourth proportional to 399.84, 598.96 and 312.20 is: 467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.84 : 598.96 = 312.20 : x
  2. Step 2: Convert to fraction form
    399.84/598.96 = 312.20/x
  3. Step 3: Cross multiply
    399.84x = 598.96 × 312.20
  4. Step 4: Simplify right side
    399.84x = 186,995.31
  5. Step 5: Solve for x
    x = 186,995.31/399.84
  6. Step 6: Final answer
    x = 467.68

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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.