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Finding the Fourth Proportional to 469.99, 705.44 and 287.74

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Solution

The fourth proportional to 469.99, 705.44 and 287.74 is: 431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.99 : 705.44 = 287.74 : x
  2. Step 2: Convert to fraction form
    469.99/705.44 = 287.74/x
  3. Step 3: Cross multiply
    469.99x = 705.44 × 287.74
  4. Step 4: Simplify right side
    469.99x = 202,983.31
  5. Step 5: Solve for x
    x = 202,983.31/469.99
  6. Step 6: Final answer
    x = 431.89

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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.