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Finding the Fourth Proportional to 558.16, 770.88 and 411.28

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Solution

The fourth proportional to 558.16, 770.88 and 411.28 is: 568.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.16 : 770.88 = 411.28 : x
  2. Step 2: Convert to fraction form
    558.16/770.88 = 411.28/x
  3. Step 3: Cross multiply
    558.16x = 770.88 × 411.28
  4. Step 4: Simplify right side
    558.16x = 317,047.53
  5. Step 5: Solve for x
    x = 317,047.53/558.16
  6. Step 6: Final answer
    x = 568.02

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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.