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Finding the Fourth Proportional to 582.16, 797.68 and 573.52

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Solution

The fourth proportional to 582.16, 797.68 and 573.52 is: 785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 797.68 = 573.52 : x
  2. Step 2: Convert to fraction form
    582.16/797.68 = 573.52/x
  3. Step 3: Cross multiply
    582.16x = 797.68 × 573.52
  4. Step 4: Simplify right side
    582.16x = 457,485.43
  5. Step 5: Solve for x
    x = 457,485.43/582.16
  6. Step 6: Final answer
    x = 785.84

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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.