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Finding the Fourth Proportional to 475.70, 713.55 and 416.30

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Solution

The fourth proportional to 475.70, 713.55 and 416.30 is: 624.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.70 : 713.55 = 416.30 : x
  2. Step 2: Convert to fraction form
    475.70/713.55 = 416.30/x
  3. Step 3: Cross multiply
    475.70x = 713.55 × 416.30
  4. Step 4: Simplify right side
    475.70x = 297,050.87
  5. Step 5: Solve for x
    x = 297,050.87/475.70
  6. Step 6: Final answer
    x = 624.45

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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.