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Finding the Fourth Proportional to 587.10, 809.10 and 462.63

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Solution

The fourth proportional to 587.10, 809.10 and 462.63 is: 637.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.10 : 809.10 = 462.63 : x
  2. Step 2: Convert to fraction form
    587.10/809.10 = 462.63/x
  3. Step 3: Cross multiply
    587.10x = 809.10 × 462.63
  4. Step 4: Simplify right side
    587.10x = 374,313.93
  5. Step 5: Solve for x
    x = 374,313.93/587.10
  6. Step 6: Final answer
    x = 637.56

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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.