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Finding the Fourth Proportional to 597.26, 823.98 and 373.07

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Solution

The fourth proportional to 597.26, 823.98 and 373.07 is: 514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.26 : 823.98 = 373.07 : x
  2. Step 2: Convert to fraction form
    597.26/823.98 = 373.07/x
  3. Step 3: Cross multiply
    597.26x = 823.98 × 373.07
  4. Step 4: Simplify right side
    597.26x = 307,398.10
  5. Step 5: Solve for x
    x = 307,398.10/597.26
  6. Step 6: Final answer
    x = 514.68

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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.