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Finding the Fourth Proportional to 645.58, 890.99 and 365.92

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Solution

The fourth proportional to 645.58, 890.99 and 365.92 is: 505.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.58 : 890.99 = 365.92 : x
  2. Step 2: Convert to fraction form
    645.58/890.99 = 365.92/x
  3. Step 3: Cross multiply
    645.58x = 890.99 × 365.92
  4. Step 4: Simplify right side
    645.58x = 326,027.86
  5. Step 5: Solve for x
    x = 326,027.86/645.58
  6. Step 6: Final answer
    x = 505.01

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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.