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Finding the Fourth Proportional to 566.71, 781.32 and 409.57

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Solution

The fourth proportional to 566.71, 781.32 and 409.57 is: 564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.71 : 781.32 = 409.57 : x
  2. Step 2: Convert to fraction form
    566.71/781.32 = 409.57/x
  3. Step 3: Cross multiply
    566.71x = 781.32 × 409.57
  4. Step 4: Simplify right side
    566.71x = 320,005.23
  5. Step 5: Solve for x
    x = 320,005.23/566.71
  6. Step 6: Final answer
    x = 564.67

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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.