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Finding the Fourth Proportional to 597.28, 816.59 and 574.60

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Solution

The fourth proportional to 597.28, 816.59 and 574.60 is: 785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.28 : 816.59 = 574.60 : x
  2. Step 2: Convert to fraction form
    597.28/816.59 = 574.60/x
  3. Step 3: Cross multiply
    597.28x = 816.59 × 574.60
  4. Step 4: Simplify right side
    597.28x = 469,209.74
  5. Step 5: Solve for x
    x = 469,209.74/597.28
  6. Step 6: Final answer
    x = 785.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.