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Finding the Fourth Proportional to 582.70, 804.12 and 346.86

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Solution

The fourth proportional to 582.70, 804.12 and 346.86 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.70 : 804.12 = 346.86 : x
  2. Step 2: Convert to fraction form
    582.70/804.12 = 346.86/x
  3. Step 3: Cross multiply
    582.70x = 804.12 × 346.86
  4. Step 4: Simplify right side
    582.70x = 278,917.06
  5. Step 5: Solve for x
    x = 278,917.06/582.70
  6. Step 6: Final answer
    x = 478.66

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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.