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Finding the Fourth Proportional to 469.83, 705.31 and 332.99

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Solution

The fourth proportional to 469.83, 705.31 and 332.99 is: 499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.83 : 705.31 = 332.99 : x
  2. Step 2: Convert to fraction form
    469.83/705.31 = 332.99/x
  3. Step 3: Cross multiply
    469.83x = 705.31 × 332.99
  4. Step 4: Simplify right side
    469.83x = 234,857.48
  5. Step 5: Solve for x
    x = 234,857.48/469.83
  6. Step 6: Final answer
    x = 499.88

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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.