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Finding the Fourth Proportional to 377.41, 566.72 and 313.02

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Solution

The fourth proportional to 377.41, 566.72 and 313.02 is: 470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.41 : 566.72 = 313.02 : x
  2. Step 2: Convert to fraction form
    377.41/566.72 = 313.02/x
  3. Step 3: Cross multiply
    377.41x = 566.72 × 313.02
  4. Step 4: Simplify right side
    377.41x = 177,394.69
  5. Step 5: Solve for x
    x = 177,394.69/377.41
  6. Step 6: Final answer
    x = 470.03

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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.