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Finding the Fourth Proportional to 558.67, 770.86 and 322.53

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Solution

The fourth proportional to 558.67, 770.86 and 322.53 is: 445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.67 : 770.86 = 322.53 : x
  2. Step 2: Convert to fraction form
    558.67/770.86 = 322.53/x
  3. Step 3: Cross multiply
    558.67x = 770.86 × 322.53
  4. Step 4: Simplify right side
    558.67x = 248,625.48
  5. Step 5: Solve for x
    x = 248,625.48/558.67
  6. Step 6: Final answer
    x = 445.03

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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.