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Finding the Fourth Proportional to 475.72, 656.46 and 307.49

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Solution

The fourth proportional to 475.72, 656.46 and 307.49 is: 424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.72 : 656.46 = 307.49 : x
  2. Step 2: Convert to fraction form
    475.72/656.46 = 307.49/x
  3. Step 3: Cross multiply
    475.72x = 656.46 × 307.49
  4. Step 4: Simplify right side
    475.72x = 201,851.60
  5. Step 5: Solve for x
    x = 201,851.60/475.72
  6. Step 6: Final answer
    x = 424.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.