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Finding the Fourth Proportional to 565.26, 778.86 and 434.04

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Solution

The fourth proportional to 565.26, 778.86 and 434.04 is: 598.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.26 : 778.86 = 434.04 : x
  2. Step 2: Convert to fraction form
    565.26/778.86 = 434.04/x
  3. Step 3: Cross multiply
    565.26x = 778.86 × 434.04
  4. Step 4: Simplify right side
    565.26x = 338,056.39
  5. Step 5: Solve for x
    x = 338,056.39/565.26
  6. Step 6: Final answer
    x = 598.05

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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.