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Finding the Fourth Proportional to 565.63, 780.64 and 344.57

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Solution

The fourth proportional to 565.63, 780.64 and 344.57 is: 475.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.63 : 780.64 = 344.57 : x
  2. Step 2: Convert to fraction form
    565.63/780.64 = 344.57/x
  3. Step 3: Cross multiply
    565.63x = 780.64 × 344.57
  4. Step 4: Simplify right side
    565.63x = 268,980.36
  5. Step 5: Solve for x
    x = 268,980.36/565.63
  6. Step 6: Final answer
    x = 475.54

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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.