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Finding the Fourth Proportional to 601.67, 830.06 and 405.24

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Solution

The fourth proportional to 601.67, 830.06 and 405.24 is: 559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.67 : 830.06 = 405.24 : x
  2. Step 2: Convert to fraction form
    601.67/830.06 = 405.24/x
  3. Step 3: Cross multiply
    601.67x = 830.06 × 405.24
  4. Step 4: Simplify right side
    601.67x = 336,373.56
  5. Step 5: Solve for x
    x = 336,373.56/601.67
  6. Step 6: Final answer
    x = 559.07

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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.