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Finding the Fourth Proportional to 601.49, 830.40 and 422.31

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Solution

The fourth proportional to 601.49, 830.40 and 422.31 is: 583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.49 : 830.40 = 422.31 : x
  2. Step 2: Convert to fraction form
    601.49/830.40 = 422.31/x
  3. Step 3: Cross multiply
    601.49x = 830.40 × 422.31
  4. Step 4: Simplify right side
    601.49x = 350,690.13
  5. Step 5: Solve for x
    x = 350,690.13/601.49
  6. Step 6: Final answer
    x = 583.03

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1.5x scale

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.