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Finding the Fourth Proportional to 444.64, 614.64 and 340.96

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Solution

The fourth proportional to 444.64, 614.64 and 340.96 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.64 : 614.64 = 340.96 : x
  2. Step 2: Convert to fraction form
    444.64/614.64 = 340.96/x
  3. Step 3: Cross multiply
    444.64x = 614.64 × 340.96
  4. Step 4: Simplify right side
    444.64x = 209,567.65
  5. Step 5: Solve for x
    x = 209,567.65/444.64
  6. Step 6: Final answer
    x = 471.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.