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Finding the Fourth Proportional to 582.50, 804.22 and 375.86

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Solution

The fourth proportional to 582.50, 804.22 and 375.86 is: 518.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.50 : 804.22 = 375.86 : x
  2. Step 2: Convert to fraction form
    582.50/804.22 = 375.86/x
  3. Step 3: Cross multiply
    582.50x = 804.22 × 375.86
  4. Step 4: Simplify right side
    582.50x = 302,274.13
  5. Step 5: Solve for x
    x = 302,274.13/582.50
  6. Step 6: Final answer
    x = 518.93

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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.