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Finding the Fourth Proportional to 479.46, 661.53 and 313.65

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Solution

The fourth proportional to 479.46, 661.53 and 313.65 is: 432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.46 : 661.53 = 313.65 : x
  2. Step 2: Convert to fraction form
    479.46/661.53 = 313.65/x
  3. Step 3: Cross multiply
    479.46x = 661.53 × 313.65
  4. Step 4: Simplify right side
    479.46x = 207,488.88
  5. Step 5: Solve for x
    x = 207,488.88/479.46
  6. Step 6: Final answer
    x = 432.76

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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.