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Finding the Fourth Proportional to 624.96, 935.76 and 364.74

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Solution

The fourth proportional to 624.96, 935.76 and 364.74 is: 546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.96 : 935.76 = 364.74 : x
  2. Step 2: Convert to fraction form
    624.96/935.76 = 364.74/x
  3. Step 3: Cross multiply
    624.96x = 935.76 × 364.74
  4. Step 4: Simplify right side
    624.96x = 341,309.10
  5. Step 5: Solve for x
    x = 341,309.10/624.96
  6. Step 6: Final answer
    x = 546.13

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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.