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Finding the Fourth Proportional to 536.35, 803.85 and 293.08

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Solution

The fourth proportional to 536.35, 803.85 and 293.08 is: 439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.35 : 803.85 = 293.08 : x
  2. Step 2: Convert to fraction form
    536.35/803.85 = 293.08/x
  3. Step 3: Cross multiply
    536.35x = 803.85 × 293.08
  4. Step 4: Simplify right side
    536.35x = 235,592.36
  5. Step 5: Solve for x
    x = 235,592.36/536.35
  6. Step 6: Final answer
    x = 439.25

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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.