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Finding the Fourth Proportional to 705.25, 973.29 and 468.79

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Solution

The fourth proportional to 705.25, 973.29 and 468.79 is: 646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.25 : 973.29 = 468.79 : x
  2. Step 2: Convert to fraction form
    705.25/973.29 = 468.79/x
  3. Step 3: Cross multiply
    705.25x = 973.29 × 468.79
  4. Step 4: Simplify right side
    705.25x = 456,268.62
  5. Step 5: Solve for x
    x = 456,268.62/705.25
  6. Step 6: Final answer
    x = 646.96

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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.