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Finding the Fourth Proportional to 461, 691.86 and 290

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Solution

The fourth proportional to 461, 691.86 and 290 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461 : 691.86 = 290 : x
  2. Step 2: Convert to fraction form
    461/691.86 = 290/x
  3. Step 3: Cross multiply
    461x = 691.86 × 290
  4. Step 4: Simplify right side
    461x = 200,639.40
  5. Step 5: Solve for x
    x = 200,639.40/461
  6. Step 6: Final answer
    x = 435.23

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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.