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Finding the Fourth Proportional to 565.57, 780.47 and 329.65

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Solution

The fourth proportional to 565.57, 780.47 and 329.65 is: 454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.57 : 780.47 = 329.65 : x
  2. Step 2: Convert to fraction form
    565.57/780.47 = 329.65/x
  3. Step 3: Cross multiply
    565.57x = 780.47 × 329.65
  4. Step 4: Simplify right side
    565.57x = 257,284.35
  5. Step 5: Solve for x
    x = 257,284.35/565.57
  6. Step 6: Final answer
    x = 454.92

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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.