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Finding the Fourth Proportional to 678.07, 935.82 and 416.02

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Solution

The fourth proportional to 678.07, 935.82 and 416.02 is: 574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.07 : 935.82 = 416.02 : x
  2. Step 2: Convert to fraction form
    678.07/935.82 = 416.02/x
  3. Step 3: Cross multiply
    678.07x = 935.82 × 416.02
  4. Step 4: Simplify right side
    678.07x = 389,319.84
  5. Step 5: Solve for x
    x = 389,319.84/678.07
  6. Step 6: Final answer
    x = 574.16

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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.