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Finding the Fourth Proportional to 470.49, 705.63 and 296.92

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Solution

The fourth proportional to 470.49, 705.63 and 296.92 is: 445.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.49 : 705.63 = 296.92 : x
  2. Step 2: Convert to fraction form
    470.49/705.63 = 296.92/x
  3. Step 3: Cross multiply
    470.49x = 705.63 × 296.92
  4. Step 4: Simplify right side
    470.49x = 209,519.64
  5. Step 5: Solve for x
    x = 209,519.64/470.49
  6. Step 6: Final answer
    x = 445.32

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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.