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Finding the Fourth Proportional to 410.40, 615.51 and 193.86

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Solution

The fourth proportional to 410.40, 615.51 and 193.86 is: 290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.40 : 615.51 = 193.86 : x
  2. Step 2: Convert to fraction form
    410.40/615.51 = 193.86/x
  3. Step 3: Cross multiply
    410.40x = 615.51 × 193.86
  4. Step 4: Simplify right side
    410.40x = 119,322.77
  5. Step 5: Solve for x
    x = 119,322.77/410.40
  6. Step 6: Final answer
    x = 290.75

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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.