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Finding the Fourth Proportional to 645.01, 889.64 and 458.30

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Solution

The fourth proportional to 645.01, 889.64 and 458.30 is: 632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.01 : 889.64 = 458.30 : x
  2. Step 2: Convert to fraction form
    645.01/889.64 = 458.30/x
  3. Step 3: Cross multiply
    645.01x = 889.64 × 458.30
  4. Step 4: Simplify right side
    645.01x = 407,722.01
  5. Step 5: Solve for x
    x = 407,722.01/645.01
  6. Step 6: Final answer
    x = 632.12

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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.