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Finding the Fourth Proportional to 535.88, 802.36 and 505.18

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Solution

The fourth proportional to 535.88, 802.36 and 505.18 is: 756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.88 : 802.36 = 505.18 : x
  2. Step 2: Convert to fraction form
    535.88/802.36 = 505.18/x
  3. Step 3: Cross multiply
    535.88x = 802.36 × 505.18
  4. Step 4: Simplify right side
    535.88x = 405,336.22
  5. Step 5: Solve for x
    x = 405,336.22/535.88
  6. Step 6: Final answer
    x = 756.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.