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Finding the Fourth Proportional to 473.28, 708.96 and 290.16

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Solution

The fourth proportional to 473.28, 708.96 and 290.16 is: 434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.28 : 708.96 = 290.16 : x
  2. Step 2: Convert to fraction form
    473.28/708.96 = 290.16/x
  3. Step 3: Cross multiply
    473.28x = 708.96 × 290.16
  4. Step 4: Simplify right side
    473.28x = 205,711.83
  5. Step 5: Solve for x
    x = 205,711.83/473.28
  6. Step 6: Final answer
    x = 434.65

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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.