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Finding the Fourth Proportional to 565.63, 780.65 and 472.23

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Solution

The fourth proportional to 565.63, 780.65 and 472.23 is: 651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.63 : 780.65 = 472.23 : x
  2. Step 2: Convert to fraction form
    565.63/780.65 = 472.23/x
  3. Step 3: Cross multiply
    565.63x = 780.65 × 472.23
  4. Step 4: Simplify right side
    565.63x = 368,640.09
  5. Step 5: Solve for x
    x = 368,640.09/565.63
  6. Step 6: Final answer
    x = 651.74

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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.