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Finding the Fourth Proportional to 591.32, 885.76 and 347.25

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Solution

The fourth proportional to 591.32, 885.76 and 347.25 is: 520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.32 : 885.76 = 347.25 : x
  2. Step 2: Convert to fraction form
    591.32/885.76 = 347.25/x
  3. Step 3: Cross multiply
    591.32x = 885.76 × 347.25
  4. Step 4: Simplify right side
    591.32x = 307,580.16
  5. Step 5: Solve for x
    x = 307,580.16/591.32
  6. Step 6: Final answer
    x = 520.16

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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.