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Finding the Fourth Proportional to 582.94, 804.49 and 362.02

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Solution

The fourth proportional to 582.94, 804.49 and 362.02 is: 499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.94 : 804.49 = 362.02 : x
  2. Step 2: Convert to fraction form
    582.94/804.49 = 362.02/x
  3. Step 3: Cross multiply
    582.94x = 804.49 × 362.02
  4. Step 4: Simplify right side
    582.94x = 291,241.47
  5. Step 5: Solve for x
    x = 291,241.47/582.94
  6. Step 6: Final answer
    x = 499.61

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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.