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Finding the Fourth Proportional to 653.94, 902.14 and 417.83

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Solution

The fourth proportional to 653.94, 902.14 and 417.83 is: 576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.94 : 902.14 = 417.83 : x
  2. Step 2: Convert to fraction form
    653.94/902.14 = 417.83/x
  3. Step 3: Cross multiply
    653.94x = 902.14 × 417.83
  4. Step 4: Simplify right side
    653.94x = 376,935.60
  5. Step 5: Solve for x
    x = 376,935.60/653.94
  6. Step 6: Final answer
    x = 576.41

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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.