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Finding the Fourth Proportional to 589.51, 813.24 and 457.61

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Solution

The fourth proportional to 589.51, 813.24 and 457.61 is: 631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.51 : 813.24 = 457.61 : x
  2. Step 2: Convert to fraction form
    589.51/813.24 = 457.61/x
  3. Step 3: Cross multiply
    589.51x = 813.24 × 457.61
  4. Step 4: Simplify right side
    589.51x = 372,142.69
  5. Step 5: Solve for x
    x = 372,142.69/589.51
  6. Step 6: Final answer
    x = 631.28

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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.