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Finding the Fourth Proportional to 565.31, 780.06 and 329.24

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Solution

The fourth proportional to 565.31, 780.06 and 329.24 is: 454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.31 : 780.06 = 329.24 : x
  2. Step 2: Convert to fraction form
    565.31/780.06 = 329.24/x
  3. Step 3: Cross multiply
    565.31x = 780.06 × 329.24
  4. Step 4: Simplify right side
    565.31x = 256,828.90
  5. Step 5: Solve for x
    x = 256,828.90/565.31
  6. Step 6: Final answer
    x = 454.32

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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.