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Finding the Fourth Proportional to 638.16, 880.43 and 417.24

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Solution

The fourth proportional to 638.16, 880.43 and 417.24 is: 575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.16 : 880.43 = 417.24 : x
  2. Step 2: Convert to fraction form
    638.16/880.43 = 417.24/x
  3. Step 3: Cross multiply
    638.16x = 880.43 × 417.24
  4. Step 4: Simplify right side
    638.16x = 367,346.21
  5. Step 5: Solve for x
    x = 367,346.21/638.16
  6. Step 6: Final answer
    x = 575.64

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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.