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Finding the Fourth Proportional to 407.64, 611.64 and 286.32

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Solution

The fourth proportional to 407.64, 611.64 and 286.32 is: 429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.64 : 611.64 = 286.32 : x
  2. Step 2: Convert to fraction form
    407.64/611.64 = 286.32/x
  3. Step 3: Cross multiply
    407.64x = 611.64 × 286.32
  4. Step 4: Simplify right side
    407.64x = 175,124.76
  5. Step 5: Solve for x
    x = 175,124.76/407.64
  6. Step 6: Final answer
    x = 429.61

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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.