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Finding the Fourth Proportional to 705.54, 973.64 and 421.99

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Solution

The fourth proportional to 705.54, 973.64 and 421.99 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.54 : 973.64 = 421.99 : x
  2. Step 2: Convert to fraction form
    705.54/973.64 = 421.99/x
  3. Step 3: Cross multiply
    705.54x = 973.64 × 421.99
  4. Step 4: Simplify right side
    705.54x = 410,866.34
  5. Step 5: Solve for x
    x = 410,866.34/705.54
  6. Step 6: Final answer
    x = 582.34

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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.