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Finding the Fourth Proportional to 537.63, 802.30 and 533.58

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Solution

The fourth proportional to 537.63, 802.30 and 533.58 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.63 : 802.30 = 533.58 : x
  2. Step 2: Convert to fraction form
    537.63/802.30 = 533.58/x
  3. Step 3: Cross multiply
    537.63x = 802.30 × 533.58
  4. Step 4: Simplify right side
    537.63x = 428,088.57
  5. Step 5: Solve for x
    x = 428,088.57/537.63
  6. Step 6: Final answer
    x = 796.25

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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.