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Finding the Fourth Proportional to 389.52, 536.52 and 302.04

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Solution

The fourth proportional to 389.52, 536.52 and 302.04 is: 416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.52 : 536.52 = 302.04 : x
  2. Step 2: Convert to fraction form
    389.52/536.52 = 302.04/x
  3. Step 3: Cross multiply
    389.52x = 536.52 × 302.04
  4. Step 4: Simplify right side
    389.52x = 162,050.50
  5. Step 5: Solve for x
    x = 162,050.50/389.52
  6. Step 6: Final answer
    x = 416.03

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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.