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Finding the Fourth Proportional to 536.26, 803.38 and 305.32

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Solution

The fourth proportional to 536.26, 803.38 and 305.32 is: 457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.26 : 803.38 = 305.32 : x
  2. Step 2: Convert to fraction form
    536.26/803.38 = 305.32/x
  3. Step 3: Cross multiply
    536.26x = 803.38 × 305.32
  4. Step 4: Simplify right side
    536.26x = 245,287.98
  5. Step 5: Solve for x
    x = 245,287.98/536.26
  6. Step 6: Final answer
    x = 457.40

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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.