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Finding the Fourth Proportional to 561.87, 775.70 and 375.67

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Solution

The fourth proportional to 561.87, 775.70 and 375.67 is: 518.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.87 : 775.70 = 375.67 : x
  2. Step 2: Convert to fraction form
    561.87/775.70 = 375.67/x
  3. Step 3: Cross multiply
    561.87x = 775.70 × 375.67
  4. Step 4: Simplify right side
    561.87x = 291,407.22
  5. Step 5: Solve for x
    x = 291,407.22/561.87
  6. Step 6: Final answer
    x = 518.64

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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.