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Finding the Fourth Proportional to 428.89, 590.48 and 369.66

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Solution

The fourth proportional to 428.89, 590.48 and 369.66 is: 508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.89 : 590.48 = 369.66 : x
  2. Step 2: Convert to fraction form
    428.89/590.48 = 369.66/x
  3. Step 3: Cross multiply
    428.89x = 590.48 × 369.66
  4. Step 4: Simplify right side
    428.89x = 218,276.84
  5. Step 5: Solve for x
    x = 218,276.84/428.89
  6. Step 6: Final answer
    x = 508.93

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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.