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Finding the Fourth Proportional to 638.02, 880.02 and 417.23

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Solution

The fourth proportional to 638.02, 880.02 and 417.23 is: 575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.02 : 880.02 = 417.23 : x
  2. Step 2: Convert to fraction form
    638.02/880.02 = 417.23/x
  3. Step 3: Cross multiply
    638.02x = 880.02 × 417.23
  4. Step 4: Simplify right side
    638.02x = 367,166.34
  5. Step 5: Solve for x
    x = 367,166.34/638.02
  6. Step 6: Final answer
    x = 575.48

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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.