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Finding the Fourth Proportional to 389.34, 536.98 and 242.02

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Solution

The fourth proportional to 389.34, 536.98 and 242.02 is: 333.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 536.98 = 242.02 : x
  2. Step 2: Convert to fraction form
    389.34/536.98 = 242.02/x
  3. Step 3: Cross multiply
    389.34x = 536.98 × 242.02
  4. Step 4: Simplify right side
    389.34x = 129,959.90
  5. Step 5: Solve for x
    x = 129,959.90/389.34
  6. Step 6: Final answer
    x = 333.80

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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.