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Finding the Fourth Proportional to 558.40, 770.26 and 348.21

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Solution

The fourth proportional to 558.40, 770.26 and 348.21 is: 480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.40 : 770.26 = 348.21 : x
  2. Step 2: Convert to fraction form
    558.40/770.26 = 348.21/x
  3. Step 3: Cross multiply
    558.40x = 770.26 × 348.21
  4. Step 4: Simplify right side
    558.40x = 268,210.31
  5. Step 5: Solve for x
    x = 268,210.31/558.40
  6. Step 6: Final answer
    x = 480.32

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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.