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Finding the Fourth Proportional to 533, 797.70 and 464.72

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Solution

The fourth proportional to 533, 797.70 and 464.72 is: 695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    533 : 797.70 = 464.72 : x
  2. Step 2: Convert to fraction form
    533/797.70 = 464.72/x
  3. Step 3: Cross multiply
    533x = 797.70 × 464.72
  4. Step 4: Simplify right side
    533x = 370,707.14
  5. Step 5: Solve for x
    x = 370,707.14/533
  6. Step 6: Final answer
    x = 695.51

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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.