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Finding the Fourth Proportional to 601.68, 896.61 and 582.12

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Solution

The fourth proportional to 601.68, 896.61 and 582.12 is: 867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.68 : 896.61 = 582.12 : x
  2. Step 2: Convert to fraction form
    601.68/896.61 = 582.12/x
  3. Step 3: Cross multiply
    601.68x = 896.61 × 582.12
  4. Step 4: Simplify right side
    601.68x = 521,934.61
  5. Step 5: Solve for x
    x = 521,934.61/601.68
  6. Step 6: Final answer
    x = 867.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.