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Finding the Fourth Proportional to 473.10, 653.10 and 296.15

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Solution

The fourth proportional to 473.10, 653.10 and 296.15 is: 408.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.10 : 653.10 = 296.15 : x
  2. Step 2: Convert to fraction form
    473.10/653.10 = 296.15/x
  3. Step 3: Cross multiply
    473.10x = 653.10 × 296.15
  4. Step 4: Simplify right side
    473.10x = 193,415.52
  5. Step 5: Solve for x
    x = 193,415.52/473.10
  6. Step 6: Final answer
    x = 408.83

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Why These Related Problems?

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