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Finding the Fourth Proportional to 810.72, 1,216.16 and 291

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Solution

The fourth proportional to 810.72, 1,216.16 and 291 is: 436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.72 : 1,216.16 = 291 : x
  2. Step 2: Convert to fraction form
    810.72/1,216.16 = 291/x
  3. Step 3: Cross multiply
    810.72x = 1,216.16 × 291
  4. Step 4: Simplify right side
    810.72x = 353,901.11
  5. Step 5: Solve for x
    x = 353,901.11/810.72
  6. Step 6: Final answer
    x = 436.53

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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.