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Finding the Fourth Proportional to 407.92, 611.58 and 286.40

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Solution

The fourth proportional to 407.92, 611.58 and 286.40 is: 429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.92 : 611.58 = 286.40 : x
  2. Step 2: Convert to fraction form
    407.92/611.58 = 286.40/x
  3. Step 3: Cross multiply
    407.92x = 611.58 × 286.40
  4. Step 4: Simplify right side
    407.92x = 175,156.51
  5. Step 5: Solve for x
    x = 175,156.51/407.92
  6. Step 6: Final answer
    x = 429.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.