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Finding the Fourth Proportional to 558.96, 772.50 and 434.49

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Solution

The fourth proportional to 558.96, 772.50 and 434.49 is: 600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.96 : 772.50 = 434.49 : x
  2. Step 2: Convert to fraction form
    558.96/772.50 = 434.49/x
  3. Step 3: Cross multiply
    558.96x = 772.50 × 434.49
  4. Step 4: Simplify right side
    558.96x = 335,643.53
  5. Step 5: Solve for x
    x = 335,643.53/558.96
  6. Step 6: Final answer
    x = 600.48

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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.