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Finding the Fourth Proportional to 601.64, 830.59 and 416.12

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Solution

The fourth proportional to 601.64, 830.59 and 416.12 is: 574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.64 : 830.59 = 416.12 : x
  2. Step 2: Convert to fraction form
    601.64/830.59 = 416.12/x
  3. Step 3: Cross multiply
    601.64x = 830.59 × 416.12
  4. Step 4: Simplify right side
    601.64x = 345,625.11
  5. Step 5: Solve for x
    x = 345,625.11/601.64
  6. Step 6: Final answer
    x = 574.47

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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.