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Finding the Fourth Proportional to 678.93, 936.27 and 429.80

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Solution

The fourth proportional to 678.93, 936.27 and 429.80 is: 592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.93 : 936.27 = 429.80 : x
  2. Step 2: Convert to fraction form
    678.93/936.27 = 429.80/x
  3. Step 3: Cross multiply
    678.93x = 936.27 × 429.80
  4. Step 4: Simplify right side
    678.93x = 402,404.16
  5. Step 5: Solve for x
    x = 402,404.16/678.93
  6. Step 6: Final answer
    x = 592.70

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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.