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Finding the Fourth Proportional to 705.19, 973.16 and 394.69

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Solution

The fourth proportional to 705.19, 973.16 and 394.69 is: 544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.19 : 973.16 = 394.69 : x
  2. Step 2: Convert to fraction form
    705.19/973.16 = 394.69/x
  3. Step 3: Cross multiply
    705.19x = 973.16 × 394.69
  4. Step 4: Simplify right side
    705.19x = 384,096.52
  5. Step 5: Solve for x
    x = 384,096.52/705.19
  6. Step 6: Final answer
    x = 544.67

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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.