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Finding the Fourth Proportional to 406.14, 560.14 and 258.52

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Solution

The fourth proportional to 406.14, 560.14 and 258.52 is: 356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.14 : 560.14 = 258.52 : x
  2. Step 2: Convert to fraction form
    406.14/560.14 = 258.52/x
  3. Step 3: Cross multiply
    406.14x = 560.14 × 258.52
  4. Step 4: Simplify right side
    406.14x = 144,803.30
  5. Step 5: Solve for x
    x = 144,803.30/406.14
  6. Step 6: Final answer
    x = 356.54

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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.