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Finding the Fourth Proportional to 599.58, 825.48 and 510.48

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Solution

The fourth proportional to 599.58, 825.48 and 510.48 is: 702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.58 : 825.48 = 510.48 : x
  2. Step 2: Convert to fraction form
    599.58/825.48 = 510.48/x
  3. Step 3: Cross multiply
    599.58x = 825.48 × 510.48
  4. Step 4: Simplify right side
    599.58x = 421,391.03
  5. Step 5: Solve for x
    x = 421,391.03/599.58
  6. Step 6: Final answer
    x = 702.81

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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.