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Finding the Fourth Proportional to 662.21, 992.66 and 315.58

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Solution

The fourth proportional to 662.21, 992.66 and 315.58 is: 473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.21 : 992.66 = 315.58 : x
  2. Step 2: Convert to fraction form
    662.21/992.66 = 315.58/x
  3. Step 3: Cross multiply
    662.21x = 992.66 × 315.58
  4. Step 4: Simplify right side
    662.21x = 313,263.64
  5. Step 5: Solve for x
    x = 313,263.64/662.21
  6. Step 6: Final answer
    x = 473.06

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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.