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Finding the Fourth Proportional to 678.77, 936.71 and 416.63

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Solution

The fourth proportional to 678.77, 936.71 and 416.63 is: 574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.77 : 936.71 = 416.63 : x
  2. Step 2: Convert to fraction form
    678.77/936.71 = 416.63/x
  3. Step 3: Cross multiply
    678.77x = 936.71 × 416.63
  4. Step 4: Simplify right side
    678.77x = 390,254.72
  5. Step 5: Solve for x
    x = 390,254.72/678.77
  6. Step 6: Final answer
    x = 574.95

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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.