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Finding the Fourth Proportional to 558.05, 770.07 and 322.03

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Solution

The fourth proportional to 558.05, 770.07 and 322.03 is: 444.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.05 : 770.07 = 322.03 : x
  2. Step 2: Convert to fraction form
    558.05/770.07 = 322.03/x
  3. Step 3: Cross multiply
    558.05x = 770.07 × 322.03
  4. Step 4: Simplify right side
    558.05x = 247,987.81
  5. Step 5: Solve for x
    x = 247,987.81/558.05
  6. Step 6: Final answer
    x = 444.39

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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.