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Finding the Fourth Proportional to 707.40, 976 and 408.64

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Solution

The fourth proportional to 707.40, 976 and 408.64 is: 563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.40 : 976 = 408.64 : x
  2. Step 2: Convert to fraction form
    707.40/976 = 408.64/x
  3. Step 3: Cross multiply
    707.40x = 976 × 408.64
  4. Step 4: Simplify right side
    707.40x = 398,832.64
  5. Step 5: Solve for x
    x = 398,832.64/707.40
  6. Step 6: Final answer
    x = 563.80

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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.