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Finding the Fourth Proportional to 705.21, 973.14 and 390.43

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Solution

The fourth proportional to 705.21, 973.14 and 390.43 is: 538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.21 : 973.14 = 390.43 : x
  2. Step 2: Convert to fraction form
    705.21/973.14 = 390.43/x
  3. Step 3: Cross multiply
    705.21x = 973.14 × 390.43
  4. Step 4: Simplify right side
    705.21x = 379,943.05
  5. Step 5: Solve for x
    x = 379,943.05/705.21
  6. Step 6: Final answer
    x = 538.77

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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.