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Finding the Fourth Proportional to 589.16, 812.84 and 457.92

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Solution

The fourth proportional to 589.16, 812.84 and 457.92 is: 631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.16 : 812.84 = 457.92 : x
  2. Step 2: Convert to fraction form
    589.16/812.84 = 457.92/x
  3. Step 3: Cross multiply
    589.16x = 812.84 × 457.92
  4. Step 4: Simplify right side
    589.16x = 372,215.69
  5. Step 5: Solve for x
    x = 372,215.69/589.16
  6. Step 6: Final answer
    x = 631.77

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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.