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Finding the Fourth Proportional to 557.60, 770.46 and 418.28

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Solution

The fourth proportional to 557.60, 770.46 and 418.28 is: 577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.60 : 770.46 = 418.28 : x
  2. Step 2: Convert to fraction form
    557.60/770.46 = 418.28/x
  3. Step 3: Cross multiply
    557.60x = 770.46 × 418.28
  4. Step 4: Simplify right side
    557.60x = 322,268.01
  5. Step 5: Solve for x
    x = 322,268.01/557.60
  6. Step 6: Final answer
    x = 577.96

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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.