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Finding the Fourth Proportional to 653.78, 902.51 and 405.44

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Solution

The fourth proportional to 653.78, 902.51 and 405.44 is: 559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.78 : 902.51 = 405.44 : x
  2. Step 2: Convert to fraction form
    653.78/902.51 = 405.44/x
  3. Step 3: Cross multiply
    653.78x = 902.51 × 405.44
  4. Step 4: Simplify right side
    653.78x = 365,907.11
  5. Step 5: Solve for x
    x = 365,907.11/653.78
  6. Step 6: Final answer
    x = 559.68

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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.