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Finding the Fourth Proportional to 468.96, 700.96 and 459.24

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Solution

The fourth proportional to 468.96, 700.96 and 459.24 is: 686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.96 : 700.96 = 459.24 : x
  2. Step 2: Convert to fraction form
    468.96/700.96 = 459.24/x
  3. Step 3: Cross multiply
    468.96x = 700.96 × 459.24
  4. Step 4: Simplify right side
    468.96x = 321,908.87
  5. Step 5: Solve for x
    x = 321,908.87/468.96
  6. Step 6: Final answer
    x = 686.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.