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Finding the Fourth Proportional to 638.04, 880.64 and 401.80

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Solution

The fourth proportional to 638.04, 880.64 and 401.80 is: 554.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.04 : 880.64 = 401.80 : x
  2. Step 2: Convert to fraction form
    638.04/880.64 = 401.80/x
  3. Step 3: Cross multiply
    638.04x = 880.64 × 401.80
  4. Step 4: Simplify right side
    638.04x = 353,841.15
  5. Step 5: Solve for x
    x = 353,841.15/638.04
  6. Step 6: Final answer
    x = 554.58

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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.