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Finding the Fourth Proportional to 534.97, 803.04 and 316.06

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Solution

The fourth proportional to 534.97, 803.04 and 316.06 is: 474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.97 : 803.04 = 316.06 : x
  2. Step 2: Convert to fraction form
    534.97/803.04 = 316.06/x
  3. Step 3: Cross multiply
    534.97x = 803.04 × 316.06
  4. Step 4: Simplify right side
    534.97x = 253,808.82
  5. Step 5: Solve for x
    x = 253,808.82/534.97
  6. Step 6: Final answer
    x = 474.44

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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.