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Finding the Fourth Proportional to 637.70, 880.40 and 417.02

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Solution

The fourth proportional to 637.70, 880.40 and 417.02 is: 575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.70 : 880.40 = 417.02 : x
  2. Step 2: Convert to fraction form
    637.70/880.40 = 417.02/x
  3. Step 3: Cross multiply
    637.70x = 880.40 × 417.02
  4. Step 4: Simplify right side
    637.70x = 367,141.05
  5. Step 5: Solve for x
    x = 367,141.05/637.70
  6. Step 6: Final answer
    x = 575.73

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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.