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Finding the Fourth Proportional to 678.12, 935.88 and 416.10

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Solution

The fourth proportional to 678.12, 935.88 and 416.10 is: 574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.12 : 935.88 = 416.10 : x
  2. Step 2: Convert to fraction form
    678.12/935.88 = 416.10/x
  3. Step 3: Cross multiply
    678.12x = 935.88 × 416.10
  4. Step 4: Simplify right side
    678.12x = 389,419.67
  5. Step 5: Solve for x
    x = 389,419.67/678.12
  6. Step 6: Final answer
    x = 574.26

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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.