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Finding the Fourth Proportional to 455.70, 627.54 and 406.02

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Solution

The fourth proportional to 455.70, 627.54 and 406.02 is: 559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.70 : 627.54 = 406.02 : x
  2. Step 2: Convert to fraction form
    455.70/627.54 = 406.02/x
  3. Step 3: Cross multiply
    455.70x = 627.54 × 406.02
  4. Step 4: Simplify right side
    455.70x = 254,793.79
  5. Step 5: Solve for x
    x = 254,793.79/455.70
  6. Step 6: Final answer
    x = 559.13

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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.