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Finding the Fourth Proportional to 475.21, 712.50 and 405.82

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Solution

The fourth proportional to 475.21, 712.50 and 405.82 is: 608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.21 : 712.50 = 405.82 : x
  2. Step 2: Convert to fraction form
    475.21/712.50 = 405.82/x
  3. Step 3: Cross multiply
    475.21x = 712.50 × 405.82
  4. Step 4: Simplify right side
    475.21x = 289,146.75
  5. Step 5: Solve for x
    x = 289,146.75/475.21
  6. Step 6: Final answer
    x = 608.46

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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.