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Finding the Fourth Proportional to 469.65, 703.40 and 376.78

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Solution

The fourth proportional to 469.65, 703.40 and 376.78 is: 564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.65 : 703.40 = 376.78 : x
  2. Step 2: Convert to fraction form
    469.65/703.40 = 376.78/x
  3. Step 3: Cross multiply
    469.65x = 703.40 × 376.78
  4. Step 4: Simplify right side
    469.65x = 265,027.05
  5. Step 5: Solve for x
    x = 265,027.05/469.65
  6. Step 6: Final answer
    x = 564.31

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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.