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Finding the Fourth Proportional to 564, 777.36 and 505.92

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Solution

The fourth proportional to 564, 777.36 and 505.92 is: 697.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564 : 777.36 = 505.92 : x
  2. Step 2: Convert to fraction form
    564/777.36 = 505.92/x
  3. Step 3: Cross multiply
    564x = 777.36 × 505.92
  4. Step 4: Simplify right side
    564x = 393,281.97
  5. Step 5: Solve for x
    x = 393,281.97/564
  6. Step 6: Final answer
    x = 697.31

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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.