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Finding the Fourth Proportional to 558.90, 770.85 and 419.06

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Solution

The fourth proportional to 558.90, 770.85 and 419.06 is: 577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.90 : 770.85 = 419.06 : x
  2. Step 2: Convert to fraction form
    558.90/770.85 = 419.06/x
  3. Step 3: Cross multiply
    558.90x = 770.85 × 419.06
  4. Step 4: Simplify right side
    558.90x = 323,032.40
  5. Step 5: Solve for x
    x = 323,032.40/558.90
  6. Step 6: Final answer
    x = 577.98

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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.