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Finding the Fourth Proportional to 587.17, 809.59 and 468.78

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Solution

The fourth proportional to 587.17, 809.59 and 468.78 is: 646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.17 : 809.59 = 468.78 : x
  2. Step 2: Convert to fraction form
    587.17/809.59 = 468.78/x
  3. Step 3: Cross multiply
    587.17x = 809.59 × 468.78
  4. Step 4: Simplify right side
    587.17x = 379,519.60
  5. Step 5: Solve for x
    x = 379,519.60/587.17
  6. Step 6: Final answer
    x = 646.35

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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.