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Finding the Fourth Proportional to 589.54, 812.81 and 458.34

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Solution

The fourth proportional to 589.54, 812.81 and 458.34 is: 631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.54 : 812.81 = 458.34 : x
  2. Step 2: Convert to fraction form
    589.54/812.81 = 458.34/x
  3. Step 3: Cross multiply
    589.54x = 812.81 × 458.34
  4. Step 4: Simplify right side
    589.54x = 372,543.34
  5. Step 5: Solve for x
    x = 372,543.34/589.54
  6. Step 6: Final answer
    x = 631.92

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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.