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Finding the Fourth Proportional to 504.91, 696.67 and 305.71

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Solution

The fourth proportional to 504.91, 696.67 and 305.71 is: 421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.91 : 696.67 = 305.71 : x
  2. Step 2: Convert to fraction form
    504.91/696.67 = 305.71/x
  3. Step 3: Cross multiply
    504.91x = 696.67 × 305.71
  4. Step 4: Simplify right side
    504.91x = 212,978.99
  5. Step 5: Solve for x
    x = 212,978.99/504.91
  6. Step 6: Final answer
    x = 421.82

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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.