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Finding the Fourth Proportional to 473.15, 708.68 and 289.98

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Solution

The fourth proportional to 473.15, 708.68 and 289.98 is: 434.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.15 : 708.68 = 289.98 : x
  2. Step 2: Convert to fraction form
    473.15/708.68 = 289.98/x
  3. Step 3: Cross multiply
    473.15x = 708.68 × 289.98
  4. Step 4: Simplify right side
    473.15x = 205,501.58
  5. Step 5: Solve for x
    x = 205,501.58/473.15
  6. Step 6: Final answer
    x = 434.33

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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.