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Finding the Fourth Proportional to 589.13, 813.20 and 457.91

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Solution

The fourth proportional to 589.13, 813.20 and 457.91 is: 632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.13 : 813.20 = 457.91 : x
  2. Step 2: Convert to fraction form
    589.13/813.20 = 457.91/x
  3. Step 3: Cross multiply
    589.13x = 813.20 × 457.91
  4. Step 4: Simplify right side
    589.13x = 372,366.06
  5. Step 5: Solve for x
    x = 372,366.06/589.13
  6. Step 6: Final answer
    x = 632.07

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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.