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Finding the Fourth Proportional to 558.26, 770.13 and 433.70

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Solution

The fourth proportional to 558.26, 770.13 and 433.70 is: 598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.26 : 770.13 = 433.70 : x
  2. Step 2: Convert to fraction form
    558.26/770.13 = 433.70/x
  3. Step 3: Cross multiply
    558.26x = 770.13 × 433.70
  4. Step 4: Simplify right side
    558.26x = 334,005.38
  5. Step 5: Solve for x
    x = 334,005.38/558.26
  6. Step 6: Final answer
    x = 598.30

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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.