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Finding the Fourth Proportional to 565.65, 780.50 and 366.53

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Solution

The fourth proportional to 565.65, 780.50 and 366.53 is: 505.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.65 : 780.50 = 366.53 : x
  2. Step 2: Convert to fraction form
    565.65/780.50 = 366.53/x
  3. Step 3: Cross multiply
    565.65x = 780.50 × 366.53
  4. Step 4: Simplify right side
    565.65x = 286,073.68
  5. Step 5: Solve for x
    x = 286,073.68/565.65
  6. Step 6: Final answer
    x = 505.74

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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.