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Finding the Fourth Proportional to 582.86, 804.45 and 350

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Solution

The fourth proportional to 582.86, 804.45 and 350 is: 483.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.86 : 804.45 = 350 : x
  2. Step 2: Convert to fraction form
    582.86/804.45 = 350/x
  3. Step 3: Cross multiply
    582.86x = 804.45 × 350
  4. Step 4: Simplify right side
    582.86x = 281,557.50
  5. Step 5: Solve for x
    x = 281,557.50/582.86
  6. Step 6: Final answer
    x = 483.06

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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.