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Finding the Fourth Proportional to 654.89, 904.14 and 455.65

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Solution

The fourth proportional to 654.89, 904.14 and 455.65 is: 629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.89 : 904.14 = 455.65 : x
  2. Step 2: Convert to fraction form
    654.89/904.14 = 455.65/x
  3. Step 3: Cross multiply
    654.89x = 904.14 × 455.65
  4. Step 4: Simplify right side
    654.89x = 411,968.58
  5. Step 5: Solve for x
    x = 411,968.58/654.89
  6. Step 6: Final answer
    x = 629.07

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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.