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Finding the Fourth Proportional to 665.34, 917.19 and 468.78

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Solution

The fourth proportional to 665.34, 917.19 and 468.78 is: 646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 917.19 = 468.78 : x
  2. Step 2: Convert to fraction form
    665.34/917.19 = 468.78/x
  3. Step 3: Cross multiply
    665.34x = 917.19 × 468.78
  4. Step 4: Simplify right side
    665.34x = 429,960.33
  5. Step 5: Solve for x
    x = 429,960.33/665.34
  6. Step 6: Final answer
    x = 646.23

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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.