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Finding the Fourth Proportional to 561.76, 775.59 and 437.92

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Solution

The fourth proportional to 561.76, 775.59 and 437.92 is: 604.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 775.59 = 437.92 : x
  2. Step 2: Convert to fraction form
    561.76/775.59 = 437.92/x
  3. Step 3: Cross multiply
    561.76x = 775.59 × 437.92
  4. Step 4: Simplify right side
    561.76x = 339,646.37
  5. Step 5: Solve for x
    x = 339,646.37/561.76
  6. Step 6: Final answer
    x = 604.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.