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Finding the Fourth Proportional to 589.64, 814.10 and 458.44

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Solution

The fourth proportional to 589.64, 814.10 and 458.44 is: 632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.64 : 814.10 = 458.44 : x
  2. Step 2: Convert to fraction form
    589.64/814.10 = 458.44/x
  3. Step 3: Cross multiply
    589.64x = 814.10 × 458.44
  4. Step 4: Simplify right side
    589.64x = 373,216.00
  5. Step 5: Solve for x
    x = 373,216.00/589.64
  6. Step 6: Final answer
    x = 632.96

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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.