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Finding the Fourth Proportional to 533.10, 799.65 and 314.40

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Solution

The fourth proportional to 533.10, 799.65 and 314.40 is: 471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.10 : 799.65 = 314.40 : x
  2. Step 2: Convert to fraction form
    533.10/799.65 = 314.40/x
  3. Step 3: Cross multiply
    533.10x = 799.65 × 314.40
  4. Step 4: Simplify right side
    533.10x = 251,409.96
  5. Step 5: Solve for x
    x = 251,409.96/533.10
  6. Step 6: Final answer
    x = 471.60

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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.