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Finding the Fourth Proportional to 534.68, 797.49 and 504.76

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Solution

The fourth proportional to 534.68, 797.49 and 504.76 is: 752.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.68 : 797.49 = 504.76 : x
  2. Step 2: Convert to fraction form
    534.68/797.49 = 504.76/x
  3. Step 3: Cross multiply
    534.68x = 797.49 × 504.76
  4. Step 4: Simplify right side
    534.68x = 402,541.05
  5. Step 5: Solve for x
    x = 402,541.05/534.68
  6. Step 6: Final answer
    x = 752.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.