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Finding the Fourth Proportional to 479.61, 662.58 and 314.21

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Solution

The fourth proportional to 479.61, 662.58 and 314.21 is: 434.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.61 : 662.58 = 314.21 : x
  2. Step 2: Convert to fraction form
    479.61/662.58 = 314.21/x
  3. Step 3: Cross multiply
    479.61x = 662.58 × 314.21
  4. Step 4: Simplify right side
    479.61x = 208,185.95
  5. Step 5: Solve for x
    x = 208,185.95/479.61
  6. Step 6: Final answer
    x = 434.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.