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Finding the Fourth Proportional to 654.74, 904.12 and 488.66

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Solution

The fourth proportional to 654.74, 904.12 and 488.66 is: 674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.74 : 904.12 = 488.66 : x
  2. Step 2: Convert to fraction form
    654.74/904.12 = 488.66/x
  3. Step 3: Cross multiply
    654.74x = 904.12 × 488.66
  4. Step 4: Simplify right side
    654.74x = 441,808.32
  5. Step 5: Solve for x
    x = 441,808.32/654.74
  6. Step 6: Final answer
    x = 674.79

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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.