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Finding the Fourth Proportional to 558.19, 770.40 and 533.59

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Solution

The fourth proportional to 558.19, 770.40 and 533.59 is: 736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.19 : 770.40 = 533.59 : x
  2. Step 2: Convert to fraction form
    558.19/770.40 = 533.59/x
  3. Step 3: Cross multiply
    558.19x = 770.40 × 533.59
  4. Step 4: Simplify right side
    558.19x = 411,072.55
  5. Step 5: Solve for x
    x = 411,072.55/558.19
  6. Step 6: Final answer
    x = 736.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.