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Finding the Fourth Proportional to 645.06, 890.12 and 365.24

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Solution

The fourth proportional to 645.06, 890.12 and 365.24 is: 503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.06 : 890.12 = 365.24 : x
  2. Step 2: Convert to fraction form
    645.06/890.12 = 365.24/x
  3. Step 3: Cross multiply
    645.06x = 890.12 × 365.24
  4. Step 4: Simplify right side
    645.06x = 325,101.74
  5. Step 5: Solve for x
    x = 325,101.74/645.06
  6. Step 6: Final answer
    x = 503.99

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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.