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Finding the Fourth Proportional to 705.13, 973.10 and 443.14

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Solution

The fourth proportional to 705.13, 973.10 and 443.14 is: 611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.13 : 973.10 = 443.14 : x
  2. Step 2: Convert to fraction form
    705.13/973.10 = 443.14/x
  3. Step 3: Cross multiply
    705.13x = 973.10 × 443.14
  4. Step 4: Simplify right side
    705.13x = 431,219.53
  5. Step 5: Solve for x
    x = 431,219.53/705.13
  6. Step 6: Final answer
    x = 611.55

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Double scale
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1.5x scale

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.