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Finding the Fourth Proportional to 705.46, 973.17 and 443.65

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Solution

The fourth proportional to 705.46, 973.17 and 443.65 is: 612.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.46 : 973.17 = 443.65 : x
  2. Step 2: Convert to fraction form
    705.46/973.17 = 443.65/x
  3. Step 3: Cross multiply
    705.46x = 973.17 × 443.65
  4. Step 4: Simplify right side
    705.46x = 431,746.87
  5. Step 5: Solve for x
    x = 431,746.87/705.46
  6. Step 6: Final answer
    x = 612.01

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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.