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Finding the Fourth Proportional to 416, 624.18 and 307.28

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Solution

The fourth proportional to 416, 624.18 and 307.28 is: 461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416 : 624.18 = 307.28 : x
  2. Step 2: Convert to fraction form
    416/624.18 = 307.28/x
  3. Step 3: Cross multiply
    416x = 624.18 × 307.28
  4. Step 4: Simplify right side
    416x = 191,798.03
  5. Step 5: Solve for x
    x = 191,798.03/416
  6. Step 6: Final answer
    x = 461.05

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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.