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Finding the Fourth Proportional to 645.48, 889.83 and 458.46

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Solution

The fourth proportional to 645.48, 889.83 and 458.46 is: 632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.48 : 889.83 = 458.46 : x
  2. Step 2: Convert to fraction form
    645.48/889.83 = 458.46/x
  3. Step 3: Cross multiply
    645.48x = 889.83 × 458.46
  4. Step 4: Simplify right side
    645.48x = 407,951.46
  5. Step 5: Solve for x
    x = 407,951.46/645.48
  6. Step 6: Final answer
    x = 632.01

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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.