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Finding the Fourth Proportional to 533.76, 795.98 and 474.76

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Solution

The fourth proportional to 533.76, 795.98 and 474.76 is: 708.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.76 : 795.98 = 474.76 : x
  2. Step 2: Convert to fraction form
    533.76/795.98 = 474.76/x
  3. Step 3: Cross multiply
    533.76x = 795.98 × 474.76
  4. Step 4: Simplify right side
    533.76x = 377,901.45
  5. Step 5: Solve for x
    x = 377,901.45/533.76
  6. Step 6: Final answer
    x = 708.00

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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.