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Finding the Fourth Proportional to 559.44, 770.45 and 434.88

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Solution

The fourth proportional to 559.44, 770.45 and 434.88 is: 598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.44 : 770.45 = 434.88 : x
  2. Step 2: Convert to fraction form
    559.44/770.45 = 434.88/x
  3. Step 3: Cross multiply
    559.44x = 770.45 × 434.88
  4. Step 4: Simplify right side
    559.44x = 335,051.12
  5. Step 5: Solve for x
    x = 335,051.12/559.44
  6. Step 6: Final answer
    x = 598.90

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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.