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Finding the Fourth Proportional to 945.07, 1,416.60 and 359.80

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Solution

The fourth proportional to 945.07, 1,416.60 and 359.80 is: 539.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.07 : 1,416.60 = 359.80 : x
  2. Step 2: Convert to fraction form
    945.07/1,416.60 = 359.80/x
  3. Step 3: Cross multiply
    945.07x = 1,416.60 × 359.80
  4. Step 4: Simplify right side
    945.07x = 509,692.68
  5. Step 5: Solve for x
    x = 509,692.68/945.07
  6. Step 6: Final answer
    x = 539.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.