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Finding the Fourth Proportional to 552.63, 828.16 and 536.00

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Solution

The fourth proportional to 552.63, 828.16 and 536.00 is: 803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.63 : 828.16 = 536.00 : x
  2. Step 2: Convert to fraction form
    552.63/828.16 = 536.00/x
  3. Step 3: Cross multiply
    552.63x = 828.16 × 536.00
  4. Step 4: Simplify right side
    552.63x = 443,888.28
  5. Step 5: Solve for x
    x = 443,888.28/552.63
  6. Step 6: Final answer
    x = 803.22

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Why These Related Problems?

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