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Finding the Fourth Proportional to 565.28, 780.44 and 355.74

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Solution

The fourth proportional to 565.28, 780.44 and 355.74 is: 491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.28 : 780.44 = 355.74 : x
  2. Step 2: Convert to fraction form
    565.28/780.44 = 355.74/x
  3. Step 3: Cross multiply
    565.28x = 780.44 × 355.74
  4. Step 4: Simplify right side
    565.28x = 277,634.61
  5. Step 5: Solve for x
    x = 277,634.61/565.28
  6. Step 6: Final answer
    x = 491.15

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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.