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Finding the Fourth Proportional to 624.96, 935.10 and 533.88

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Solution

The fourth proportional to 624.96, 935.10 and 533.88 is: 798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.96 : 935.10 = 533.88 : x
  2. Step 2: Convert to fraction form
    624.96/935.10 = 533.88/x
  3. Step 3: Cross multiply
    624.96x = 935.10 × 533.88
  4. Step 4: Simplify right side
    624.96x = 499,231.19
  5. Step 5: Solve for x
    x = 499,231.19/624.96
  6. Step 6: Final answer
    x = 798.82

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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.