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Finding the Fourth Proportional to 601.43, 830.32 and 405.14

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Solution

The fourth proportional to 601.43, 830.32 and 405.14 is: 559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.43 : 830.32 = 405.14 : x
  2. Step 2: Convert to fraction form
    601.43/830.32 = 405.14/x
  3. Step 3: Cross multiply
    601.43x = 830.32 × 405.14
  4. Step 4: Simplify right side
    601.43x = 336,395.84
  5. Step 5: Solve for x
    x = 336,395.84/601.43
  6. Step 6: Final answer
    x = 559.33

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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.