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Finding the Fourth Proportional to 589.66, 814.38 and 458.47

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Solution

The fourth proportional to 589.66, 814.38 and 458.47 is: 633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.66 : 814.38 = 458.47 : x
  2. Step 2: Convert to fraction form
    589.66/814.38 = 458.47/x
  3. Step 3: Cross multiply
    589.66x = 814.38 × 458.47
  4. Step 4: Simplify right side
    589.66x = 373,368.80
  5. Step 5: Solve for x
    x = 373,368.80/589.66
  6. Step 6: Final answer
    x = 633.19

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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.