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Finding the Fourth Proportional to 705.45, 973.53 and 394.95

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Solution

The fourth proportional to 705.45, 973.53 and 394.95 is: 545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.45 : 973.53 = 394.95 : x
  2. Step 2: Convert to fraction form
    705.45/973.53 = 394.95/x
  3. Step 3: Cross multiply
    705.45x = 973.53 × 394.95
  4. Step 4: Simplify right side
    705.45x = 384,496.13
  5. Step 5: Solve for x
    x = 384,496.13/705.45
  6. Step 6: Final answer
    x = 545.03

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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.