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Finding the Fourth Proportional to 707.67, 976.32 and 459.05

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Solution

The fourth proportional to 707.67, 976.32 and 459.05 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.67 : 976.32 = 459.05 : x
  2. Step 2: Convert to fraction form
    707.67/976.32 = 459.05/x
  3. Step 3: Cross multiply
    707.67x = 976.32 × 459.05
  4. Step 4: Simplify right side
    707.67x = 448,174.81
  5. Step 5: Solve for x
    x = 448,174.81/707.67
  6. Step 6: Final answer
    x = 633.31

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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.