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Finding the Fourth Proportional to 558.51, 770.61 and 442.41

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Solution

The fourth proportional to 558.51, 770.61 and 442.41 is: 610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.51 : 770.61 = 442.41 : x
  2. Step 2: Convert to fraction form
    558.51/770.61 = 442.41/x
  3. Step 3: Cross multiply
    558.51x = 770.61 × 442.41
  4. Step 4: Simplify right side
    558.51x = 340,925.57
  5. Step 5: Solve for x
    x = 340,925.57/558.51
  6. Step 6: Final answer
    x = 610.42

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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.