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Finding the Fourth Proportional to 536.04, 800.42 and 505.62

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Solution

The fourth proportional to 536.04, 800.42 and 505.62 is: 754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.04 : 800.42 = 505.62 : x
  2. Step 2: Convert to fraction form
    536.04/800.42 = 505.62/x
  3. Step 3: Cross multiply
    536.04x = 800.42 × 505.62
  4. Step 4: Simplify right side
    536.04x = 404,705.83
  5. Step 5: Solve for x
    x = 404,705.83/536.04
  6. Step 6: Final answer
    x = 754.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.