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Finding the Fourth Proportional to 599.90, 825.71 and 424.94

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Solution

The fourth proportional to 599.90, 825.71 and 424.94 is: 584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.90 : 825.71 = 424.94 : x
  2. Step 2: Convert to fraction form
    599.90/825.71 = 424.94/x
  3. Step 3: Cross multiply
    599.90x = 825.71 × 424.94
  4. Step 4: Simplify right side
    599.90x = 350,870.95
  5. Step 5: Solve for x
    x = 350,870.95/599.90
  6. Step 6: Final answer
    x = 584.89

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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.