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Finding the Fourth Proportional to 533.84, 731.89 and 524.12

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Solution

The fourth proportional to 533.84, 731.89 and 524.12 is: 718.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 731.89 = 524.12 : x
  2. Step 2: Convert to fraction form
    533.84/731.89 = 524.12/x
  3. Step 3: Cross multiply
    533.84x = 731.89 × 524.12
  4. Step 4: Simplify right side
    533.84x = 383,598.19
  5. Step 5: Solve for x
    x = 383,598.19/533.84
  6. Step 6: Final answer
    x = 718.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.