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Finding the Fourth Proportional to 479.49, 661.59 and 313.94

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Solution

The fourth proportional to 479.49, 661.59 and 313.94 is: 433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.49 : 661.59 = 313.94 : x
  2. Step 2: Convert to fraction form
    479.49/661.59 = 313.94/x
  3. Step 3: Cross multiply
    479.49x = 661.59 × 313.94
  4. Step 4: Simplify right side
    479.49x = 207,699.56
  5. Step 5: Solve for x
    x = 207,699.56/479.49
  6. Step 6: Final answer
    x = 433.17

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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.