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Finding the Fourth Proportional to 645.99, 890.59 and 424.86

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Solution

The fourth proportional to 645.99, 890.59 and 424.86 is: 585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.99 : 890.59 = 424.86 : x
  2. Step 2: Convert to fraction form
    645.99/890.59 = 424.86/x
  3. Step 3: Cross multiply
    645.99x = 890.59 × 424.86
  4. Step 4: Simplify right side
    645.99x = 378,376.07
  5. Step 5: Solve for x
    x = 378,376.07/645.99
  6. Step 6: Final answer
    x = 585.73

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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.