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Finding the Fourth Proportional to 410, 614.74 and 193.48

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Solution

The fourth proportional to 410, 614.74 and 193.48 is: 290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410 : 614.74 = 193.48 : x
  2. Step 2: Convert to fraction form
    410/614.74 = 193.48/x
  3. Step 3: Cross multiply
    410x = 614.74 × 193.48
  4. Step 4: Simplify right side
    410x = 118,939.90
  5. Step 5: Solve for x
    x = 118,939.90/410
  6. Step 6: Final answer
    x = 290.10

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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.