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Finding the Fourth Proportional to 586.37, 879.26 and 312.38

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Solution

The fourth proportional to 586.37, 879.26 and 312.38 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.37 : 879.26 = 312.38 : x
  2. Step 2: Convert to fraction form
    586.37/879.26 = 312.38/x
  3. Step 3: Cross multiply
    586.37x = 879.26 × 312.38
  4. Step 4: Simplify right side
    586.37x = 274,663.24
  5. Step 5: Solve for x
    x = 274,663.24/586.37
  6. Step 6: Final answer
    x = 468.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.