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Finding the Fourth Proportional to 407.46, 561.66 and 319.98

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Solution

The fourth proportional to 407.46, 561.66 and 319.98 is: 441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.46 : 561.66 = 319.98 : x
  2. Step 2: Convert to fraction form
    407.46/561.66 = 319.98/x
  3. Step 3: Cross multiply
    407.46x = 561.66 × 319.98
  4. Step 4: Simplify right side
    407.46x = 179,719.97
  5. Step 5: Solve for x
    x = 179,719.97/407.46
  6. Step 6: Final answer
    x = 441.07

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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.