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Finding the Fourth Proportional to 678.12, 936.54 and 468.60

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Solution

The fourth proportional to 678.12, 936.54 and 468.60 is: 647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.12 : 936.54 = 468.60 : x
  2. Step 2: Convert to fraction form
    678.12/936.54 = 468.60/x
  3. Step 3: Cross multiply
    678.12x = 936.54 × 468.60
  4. Step 4: Simplify right side
    678.12x = 438,862.64
  5. Step 5: Solve for x
    x = 438,862.64/678.12
  6. Step 6: Final answer
    x = 647.18

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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.