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Finding the Fourth Proportional to 561.72, 774.66 and 456.78

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Solution

The fourth proportional to 561.72, 774.66 and 456.78 is: 629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.72 : 774.66 = 456.78 : x
  2. Step 2: Convert to fraction form
    561.72/774.66 = 456.78/x
  3. Step 3: Cross multiply
    561.72x = 774.66 × 456.78
  4. Step 4: Simplify right side
    561.72x = 353,849.19
  5. Step 5: Solve for x
    x = 353,849.19/561.72
  6. Step 6: Final answer
    x = 629.94

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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.