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Finding the Fourth Proportional to 596.35, 889.39 and 538.03

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Solution

The fourth proportional to 596.35, 889.39 and 538.03 is: 802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.35 : 889.39 = 538.03 : x
  2. Step 2: Convert to fraction form
    596.35/889.39 = 538.03/x
  3. Step 3: Cross multiply
    596.35x = 889.39 × 538.03
  4. Step 4: Simplify right side
    596.35x = 478,518.50
  5. Step 5: Solve for x
    x = 478,518.50/596.35
  6. Step 6: Final answer
    x = 802.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.