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Finding the Fourth Proportional to 475.00, 710.83 and 376.63

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Solution

The fourth proportional to 475.00, 710.83 and 376.63 is: 563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.00 : 710.83 = 376.63 : x
  2. Step 2: Convert to fraction form
    475.00/710.83 = 376.63/x
  3. Step 3: Cross multiply
    475.00x = 710.83 × 376.63
  4. Step 4: Simplify right side
    475.00x = 267,717.18
  5. Step 5: Solve for x
    x = 267,717.18/475.00
  6. Step 6: Final answer
    x = 563.62

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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.