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Finding the Fourth Proportional to 645.09, 890.96 and 425.01

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Solution

The fourth proportional to 645.09, 890.96 and 425.01 is: 587.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.09 : 890.96 = 425.01 : x
  2. Step 2: Convert to fraction form
    645.09/890.96 = 425.01/x
  3. Step 3: Cross multiply
    645.09x = 890.96 × 425.01
  4. Step 4: Simplify right side
    645.09x = 378,668.13
  5. Step 5: Solve for x
    x = 378,668.13/645.09
  6. Step 6: Final answer
    x = 587.00

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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.