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Finding the Fourth Proportional to 705.33, 973.40 and 406.69

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Solution

The fourth proportional to 705.33, 973.40 and 406.69 is: 561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.33 : 973.40 = 406.69 : x
  2. Step 2: Convert to fraction form
    705.33/973.40 = 406.69/x
  3. Step 3: Cross multiply
    705.33x = 973.40 × 406.69
  4. Step 4: Simplify right side
    705.33x = 395,867.58
  5. Step 5: Solve for x
    x = 395,867.58/705.33
  6. Step 6: Final answer
    x = 561.25

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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.