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Finding the Fourth Proportional to 473.67, 653.29 and 296.47

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Solution

The fourth proportional to 473.67, 653.29 and 296.47 is: 408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.67 : 653.29 = 296.47 : x
  2. Step 2: Convert to fraction form
    473.67/653.29 = 296.47/x
  3. Step 3: Cross multiply
    473.67x = 653.29 × 296.47
  4. Step 4: Simplify right side
    473.67x = 193,682.71
  5. Step 5: Solve for x
    x = 193,682.71/473.67
  6. Step 6: Final answer
    x = 408.90

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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.