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Finding the Fourth Proportional to 536.06, 803.40 and 353.78

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Solution

The fourth proportional to 536.06, 803.40 and 353.78 is: 530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.06 : 803.40 = 353.78 : x
  2. Step 2: Convert to fraction form
    536.06/803.40 = 353.78/x
  3. Step 3: Cross multiply
    536.06x = 803.40 × 353.78
  4. Step 4: Simplify right side
    536.06x = 284,226.85
  5. Step 5: Solve for x
    x = 284,226.85/536.06
  6. Step 6: Final answer
    x = 530.21

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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.