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Finding the Fourth Proportional to 601.02, 830.15 and 434.97

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Solution

The fourth proportional to 601.02, 830.15 and 434.97 is: 600.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.02 : 830.15 = 434.97 : x
  2. Step 2: Convert to fraction form
    601.02/830.15 = 434.97/x
  3. Step 3: Cross multiply
    601.02x = 830.15 × 434.97
  4. Step 4: Simplify right side
    601.02x = 361,088.17
  5. Step 5: Solve for x
    x = 361,088.17/601.02
  6. Step 6: Final answer
    x = 600.79

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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.