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Finding the Fourth Proportional to 601.53, 830.13 and 422.10

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Solution

The fourth proportional to 601.53, 830.13 and 422.10 is: 582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.53 : 830.13 = 422.10 : x
  2. Step 2: Convert to fraction form
    601.53/830.13 = 422.10/x
  3. Step 3: Cross multiply
    601.53x = 830.13 × 422.10
  4. Step 4: Simplify right side
    601.53x = 350,397.87
  5. Step 5: Solve for x
    x = 350,397.87/601.53
  6. Step 6: Final answer
    x = 582.51

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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.