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Finding the Fourth Proportional to 601.75, 830.06 and 412.55

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Solution

The fourth proportional to 601.75, 830.06 and 412.55 is: 569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.75 : 830.06 = 412.55 : x
  2. Step 2: Convert to fraction form
    601.75/830.06 = 412.55/x
  3. Step 3: Cross multiply
    601.75x = 830.06 × 412.55
  4. Step 4: Simplify right side
    601.75x = 342,437.10
  5. Step 5: Solve for x
    x = 342,437.10/601.75
  6. Step 6: Final answer
    x = 569.07

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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.