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Finding the Fourth Proportional to 589.68, 813.78 and 458.46

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Solution

The fourth proportional to 589.68, 813.78 and 458.46 is: 632.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.68 : 813.78 = 458.46 : x
  2. Step 2: Convert to fraction form
    589.68/813.78 = 458.46/x
  3. Step 3: Cross multiply
    589.68x = 813.78 × 458.46
  4. Step 4: Simplify right side
    589.68x = 373,085.58
  5. Step 5: Solve for x
    x = 373,085.58/589.68
  6. Step 6: Final answer
    x = 632.69

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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.