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Finding the Fourth Proportional to 678.03, 935.40 and 412.35

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Solution

The fourth proportional to 678.03, 935.40 and 412.35 is: 568.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.03 : 935.40 = 412.35 : x
  2. Step 2: Convert to fraction form
    678.03/935.40 = 412.35/x
  3. Step 3: Cross multiply
    678.03x = 935.40 × 412.35
  4. Step 4: Simplify right side
    678.03x = 385,712.19
  5. Step 5: Solve for x
    x = 385,712.19/678.03
  6. Step 6: Final answer
    x = 568.87

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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.