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Finding the Fourth Proportional to 654.75, 904.01 and 458.53

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Solution

The fourth proportional to 654.75, 904.01 and 458.53 is: 633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 904.01 = 458.53 : x
  2. Step 2: Convert to fraction form
    654.75/904.01 = 458.53/x
  3. Step 3: Cross multiply
    654.75x = 904.01 × 458.53
  4. Step 4: Simplify right side
    654.75x = 414,515.71
  5. Step 5: Solve for x
    x = 414,515.71/654.75
  6. Step 6: Final answer
    x = 633.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.