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Finding the Fourth Proportional to 664.48, 917.04 and 524.26

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Solution

The fourth proportional to 664.48, 917.04 and 524.26 is: 723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.48 : 917.04 = 524.26 : x
  2. Step 2: Convert to fraction form
    664.48/917.04 = 524.26/x
  3. Step 3: Cross multiply
    664.48x = 917.04 × 524.26
  4. Step 4: Simplify right side
    664.48x = 480,767.39
  5. Step 5: Solve for x
    x = 480,767.39/664.48
  6. Step 6: Final answer
    x = 723.52

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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.