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Finding the Fourth Proportional to 536.16, 803.52 and 302.09

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Solution

The fourth proportional to 536.16, 803.52 and 302.09 is: 452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.16 : 803.52 = 302.09 : x
  2. Step 2: Convert to fraction form
    536.16/803.52 = 302.09/x
  3. Step 3: Cross multiply
    536.16x = 803.52 × 302.09
  4. Step 4: Simplify right side
    536.16x = 242,729.83
  5. Step 5: Solve for x
    x = 242,729.83/536.16
  6. Step 6: Final answer
    x = 452.72

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Why These Related Problems?

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