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Finding the Fourth Proportional to 558.64, 770.07 and 460.21

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Solution

The fourth proportional to 558.64, 770.07 and 460.21 is: 634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.64 : 770.07 = 460.21 : x
  2. Step 2: Convert to fraction form
    558.64/770.07 = 460.21/x
  3. Step 3: Cross multiply
    558.64x = 770.07 × 460.21
  4. Step 4: Simplify right side
    558.64x = 354,393.91
  5. Step 5: Solve for x
    x = 354,393.91/558.64
  6. Step 6: Final answer
    x = 634.39

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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.