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Finding the Fourth Proportional to 597.48, 823.80 and 514.44

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Solution

The fourth proportional to 597.48, 823.80 and 514.44 is: 709.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.48 : 823.80 = 514.44 : x
  2. Step 2: Convert to fraction form
    597.48/823.80 = 514.44/x
  3. Step 3: Cross multiply
    597.48x = 823.80 × 514.44
  4. Step 4: Simplify right side
    597.48x = 423,795.67
  5. Step 5: Solve for x
    x = 423,795.67/597.48
  6. Step 6: Final answer
    x = 709.31

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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.