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Finding the Fourth Proportional to 654.56, 903.53 and 458.65

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Solution

The fourth proportional to 654.56, 903.53 and 458.65 is: 633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.56 : 903.53 = 458.65 : x
  2. Step 2: Convert to fraction form
    654.56/903.53 = 458.65/x
  3. Step 3: Cross multiply
    654.56x = 903.53 × 458.65
  4. Step 4: Simplify right side
    654.56x = 414,399.48
  5. Step 5: Solve for x
    x = 414,399.48/654.56
  6. Step 6: Final answer
    x = 633.09

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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.