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Finding the Fourth Proportional to 567.32, 781.75 and 409.67

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Solution

The fourth proportional to 567.32, 781.75 and 409.67 is: 564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.32 : 781.75 = 409.67 : x
  2. Step 2: Convert to fraction form
    567.32/781.75 = 409.67/x
  3. Step 3: Cross multiply
    567.32x = 781.75 × 409.67
  4. Step 4: Simplify right side
    567.32x = 320,263.45
  5. Step 5: Solve for x
    x = 320,263.45/567.32
  6. Step 6: Final answer
    x = 564.52

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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.