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Finding the Fourth Proportional to 428.42, 590.57 and 365.78

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Solution

The fourth proportional to 428.42, 590.57 and 365.78 is: 504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.42 : 590.57 = 365.78 : x
  2. Step 2: Convert to fraction form
    428.42/590.57 = 365.78/x
  3. Step 3: Cross multiply
    428.42x = 590.57 × 365.78
  4. Step 4: Simplify right side
    428.42x = 216,018.69
  5. Step 5: Solve for x
    x = 216,018.69/428.42
  6. Step 6: Final answer
    x = 504.22

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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.