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Finding the Fourth Proportional to 584.41, 802.69 and 548.27

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Solution

The fourth proportional to 584.41, 802.69 and 548.27 is: 753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.41 : 802.69 = 548.27 : x
  2. Step 2: Convert to fraction form
    584.41/802.69 = 548.27/x
  3. Step 3: Cross multiply
    584.41x = 802.69 × 548.27
  4. Step 4: Simplify right side
    584.41x = 440,090.85
  5. Step 5: Solve for x
    x = 440,090.85/584.41
  6. Step 6: Final answer
    x = 753.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.