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Finding the Fourth Proportional to 597.96, 823.38 and 585.18

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Solution

The fourth proportional to 597.96, 823.38 and 585.18 is: 805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 823.38 = 585.18 : x
  2. Step 2: Convert to fraction form
    597.96/823.38 = 585.18/x
  3. Step 3: Cross multiply
    597.96x = 823.38 × 585.18
  4. Step 4: Simplify right side
    597.96x = 481,825.51
  5. Step 5: Solve for x
    x = 481,825.51/597.96
  6. Step 6: Final answer
    x = 805.78

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Double scale
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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.