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Finding the Fourth Proportional to 705.22, 973.28 and 425.59

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Solution

The fourth proportional to 705.22, 973.28 and 425.59 is: 587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.22 : 973.28 = 425.59 : x
  2. Step 2: Convert to fraction form
    705.22/973.28 = 425.59/x
  3. Step 3: Cross multiply
    705.22x = 973.28 × 425.59
  4. Step 4: Simplify right side
    705.22x = 414,218.24
  5. Step 5: Solve for x
    x = 414,218.24/705.22
  6. Step 6: Final answer
    x = 587.36

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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.