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Finding the Fourth Proportional to 565.40, 780.60 and 366.41

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Solution

The fourth proportional to 565.40, 780.60 and 366.41 is: 505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.40 : 780.60 = 366.41 : x
  2. Step 2: Convert to fraction form
    565.40/780.60 = 366.41/x
  3. Step 3: Cross multiply
    565.40x = 780.60 × 366.41
  4. Step 4: Simplify right side
    565.40x = 286,019.65
  5. Step 5: Solve for x
    x = 286,019.65/565.40
  6. Step 6: Final answer
    x = 505.87

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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.