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Finding the Fourth Proportional to 597.11, 821.75 and 582.80

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Solution

The fourth proportional to 597.11, 821.75 and 582.80 is: 802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.11 : 821.75 = 582.80 : x
  2. Step 2: Convert to fraction form
    597.11/821.75 = 582.80/x
  3. Step 3: Cross multiply
    597.11x = 821.75 × 582.80
  4. Step 4: Simplify right side
    597.11x = 478,908.88
  5. Step 5: Solve for x
    x = 478,908.88/597.11
  6. Step 6: Final answer
    x = 802.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.