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Finding the Fourth Proportional to 558.51, 770.76 and 322.47

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Solution

The fourth proportional to 558.51, 770.76 and 322.47 is: 445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.51 : 770.76 = 322.47 : x
  2. Step 2: Convert to fraction form
    558.51/770.76 = 322.47/x
  3. Step 3: Cross multiply
    558.51x = 770.76 × 322.47
  4. Step 4: Simplify right side
    558.51x = 248,546.98
  5. Step 5: Solve for x
    x = 248,546.98/558.51
  6. Step 6: Final answer
    x = 445.02

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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.