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Finding the Fourth Proportional to 582.42, 804.09 and 383.57

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Solution

The fourth proportional to 582.42, 804.09 and 383.57 is: 529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.42 : 804.09 = 383.57 : x
  2. Step 2: Convert to fraction form
    582.42/804.09 = 383.57/x
  3. Step 3: Cross multiply
    582.42x = 804.09 × 383.57
  4. Step 4: Simplify right side
    582.42x = 308,425.23
  5. Step 5: Solve for x
    x = 308,425.23/582.42
  6. Step 6: Final answer
    x = 529.55

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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.