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Finding the Fourth Proportional to 410.45, 614.86 and 307.85

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Solution

The fourth proportional to 410.45, 614.86 and 307.85 is: 461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.45 : 614.86 = 307.85 : x
  2. Step 2: Convert to fraction form
    410.45/614.86 = 307.85/x
  3. Step 3: Cross multiply
    410.45x = 614.86 × 307.85
  4. Step 4: Simplify right side
    410.45x = 189,280.81
  5. Step 5: Solve for x
    x = 189,280.81/410.45
  6. Step 6: Final answer
    x = 461.16

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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.