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Finding the Fourth Proportional to 663.84, 917.10 and 468.36

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Solution

The fourth proportional to 663.84, 917.10 and 468.36 is: 647.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.84 : 917.10 = 468.36 : x
  2. Step 2: Convert to fraction form
    663.84/917.10 = 468.36/x
  3. Step 3: Cross multiply
    663.84x = 917.10 × 468.36
  4. Step 4: Simplify right side
    663.84x = 429,532.96
  5. Step 5: Solve for x
    x = 429,532.96/663.84
  6. Step 6: Final answer
    x = 647.04

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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.