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Finding the Fourth Proportional to 427.45, 590.25 and 405.58

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Solution

The fourth proportional to 427.45, 590.25 and 405.58 is: 560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.45 : 590.25 = 405.58 : x
  2. Step 2: Convert to fraction form
    427.45/590.25 = 405.58/x
  3. Step 3: Cross multiply
    427.45x = 590.25 × 405.58
  4. Step 4: Simplify right side
    427.45x = 239,393.60
  5. Step 5: Solve for x
    x = 239,393.60/427.45
  6. Step 6: Final answer
    x = 560.05

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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.