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Finding the Fourth Proportional to 561.76, 775.17 and 313.14

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Solution

The fourth proportional to 561.76, 775.17 and 313.14 is: 432.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.76 : 775.17 = 313.14 : x
  2. Step 2: Convert to fraction form
    561.76/775.17 = 313.14/x
  3. Step 3: Cross multiply
    561.76x = 775.17 × 313.14
  4. Step 4: Simplify right side
    561.76x = 242,736.73
  5. Step 5: Solve for x
    x = 242,736.73/561.76
  6. Step 6: Final answer
    x = 432.10

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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.