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Finding the Fourth Proportional to 597.19, 823.26 and 431.14

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Solution

The fourth proportional to 597.19, 823.26 and 431.14 is: 594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.19 : 823.26 = 431.14 : x
  2. Step 2: Convert to fraction form
    597.19/823.26 = 431.14/x
  3. Step 3: Cross multiply
    597.19x = 823.26 × 431.14
  4. Step 4: Simplify right side
    597.19x = 354,940.32
  5. Step 5: Solve for x
    x = 354,940.32/597.19
  6. Step 6: Final answer
    x = 594.35

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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.