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Finding the Fourth Proportional to 535.34, 802.24 and 303.89

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Solution

The fourth proportional to 535.34, 802.24 and 303.89 is: 455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.34 : 802.24 = 303.89 : x
  2. Step 2: Convert to fraction form
    535.34/802.24 = 303.89/x
  3. Step 3: Cross multiply
    535.34x = 802.24 × 303.89
  4. Step 4: Simplify right side
    535.34x = 243,787.94
  5. Step 5: Solve for x
    x = 243,787.94/535.34
  6. Step 6: Final answer
    x = 455.39

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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.