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Finding the Fourth Proportional to 468.37, 700.89 and 454.51

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Solution

The fourth proportional to 468.37, 700.89 and 454.51 is: 680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.37 : 700.89 = 454.51 : x
  2. Step 2: Convert to fraction form
    468.37/700.89 = 454.51/x
  3. Step 3: Cross multiply
    468.37x = 700.89 × 454.51
  4. Step 4: Simplify right side
    468.37x = 318,561.51
  5. Step 5: Solve for x
    x = 318,561.51/468.37
  6. Step 6: Final answer
    x = 680.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.