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Finding the Fourth Proportional to 645.20, 890.04 and 424.16

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Solution

The fourth proportional to 645.20, 890.04 and 424.16 is: 585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.20 : 890.04 = 424.16 : x
  2. Step 2: Convert to fraction form
    645.20/890.04 = 424.16/x
  3. Step 3: Cross multiply
    645.20x = 890.04 × 424.16
  4. Step 4: Simplify right side
    645.20x = 377,519.37
  5. Step 5: Solve for x
    x = 377,519.37/645.20
  6. Step 6: Final answer
    x = 585.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.