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Finding the Fourth Proportional to 427.60, 590.24 and 354.08

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Solution

The fourth proportional to 427.60, 590.24 and 354.08 is: 488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.60 : 590.24 = 354.08 : x
  2. Step 2: Convert to fraction form
    427.60/590.24 = 354.08/x
  3. Step 3: Cross multiply
    427.60x = 590.24 × 354.08
  4. Step 4: Simplify right side
    427.60x = 208,992.18
  5. Step 5: Solve for x
    x = 208,992.18/427.60
  6. Step 6: Final answer
    x = 488.76

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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.