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Finding the Fourth Proportional to 611.19, 842.79 and 434.07

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Solution

The fourth proportional to 611.19, 842.79 and 434.07 is: 598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.19 : 842.79 = 434.07 : x
  2. Step 2: Convert to fraction form
    611.19/842.79 = 434.07/x
  3. Step 3: Cross multiply
    611.19x = 842.79 × 434.07
  4. Step 4: Simplify right side
    611.19x = 365,829.86
  5. Step 5: Solve for x
    x = 365,829.86/611.19
  6. Step 6: Final answer
    x = 598.55

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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.