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Finding the Fourth Proportional to 599.04, 824.70 and 568.26

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Solution

The fourth proportional to 599.04, 824.70 and 568.26 is: 782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.04 : 824.70 = 568.26 : x
  2. Step 2: Convert to fraction form
    599.04/824.70 = 568.26/x
  3. Step 3: Cross multiply
    599.04x = 824.70 × 568.26
  4. Step 4: Simplify right side
    599.04x = 468,644.02
  5. Step 5: Solve for x
    x = 468,644.02/599.04
  6. Step 6: Final answer
    x = 782.33

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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.