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Finding the Fourth Proportional to 535.26, 803.58 and 291.96

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Solution

The fourth proportional to 535.26, 803.58 and 291.96 is: 438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.26 : 803.58 = 291.96 : x
  2. Step 2: Convert to fraction form
    535.26/803.58 = 291.96/x
  3. Step 3: Cross multiply
    535.26x = 803.58 × 291.96
  4. Step 4: Simplify right side
    535.26x = 234,613.22
  5. Step 5: Solve for x
    x = 234,613.22/535.26
  6. Step 6: Final answer
    x = 438.32

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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.