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Finding the Fourth Proportional to 700.00, 965.93 and 420.26

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Solution

The fourth proportional to 700.00, 965.93 and 420.26 is: 579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.00 : 965.93 = 420.26 : x
  2. Step 2: Convert to fraction form
    700.00/965.93 = 420.26/x
  3. Step 3: Cross multiply
    700.00x = 965.93 × 420.26
  4. Step 4: Simplify right side
    700.00x = 405,934.81
  5. Step 5: Solve for x
    x = 405,934.81/700.00
  6. Step 6: Final answer
    x = 579.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.