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Finding the Fourth Proportional to 655.14, 904.14 and 458.73

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Solution

The fourth proportional to 655.14, 904.14 and 458.73 is: 633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.14 : 904.14 = 458.73 : x
  2. Step 2: Convert to fraction form
    655.14/904.14 = 458.73/x
  3. Step 3: Cross multiply
    655.14x = 904.14 × 458.73
  4. Step 4: Simplify right side
    655.14x = 414,756.14
  5. Step 5: Solve for x
    x = 414,756.14/655.14
  6. Step 6: Final answer
    x = 633.08

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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.