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Finding the Fourth Proportional to 638.24, 880.54 and 417.32

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Solution

The fourth proportional to 638.24, 880.54 and 417.32 is: 575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.24 : 880.54 = 417.32 : x
  2. Step 2: Convert to fraction form
    638.24/880.54 = 417.32/x
  3. Step 3: Cross multiply
    638.24x = 880.54 × 417.32
  4. Step 4: Simplify right side
    638.24x = 367,462.55
  5. Step 5: Solve for x
    x = 367,462.55/638.24
  6. Step 6: Final answer
    x = 575.75

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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.