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Finding the Fourth Proportional to 567.14, 852.30 and 553.32

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Solution

The fourth proportional to 567.14, 852.30 and 553.32 is: 831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.14 : 852.30 = 553.32 : x
  2. Step 2: Convert to fraction form
    567.14/852.30 = 553.32/x
  3. Step 3: Cross multiply
    567.14x = 852.30 × 553.32
  4. Step 4: Simplify right side
    567.14x = 471,594.64
  5. Step 5: Solve for x
    x = 471,594.64/567.14
  6. Step 6: Final answer
    x = 831.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.