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Finding the Fourth Proportional to 623.52, 933.24 and 563.64

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Solution

The fourth proportional to 623.52, 933.24 and 563.64 is: 843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.52 : 933.24 = 563.64 : x
  2. Step 2: Convert to fraction form
    623.52/933.24 = 563.64/x
  3. Step 3: Cross multiply
    623.52x = 933.24 × 563.64
  4. Step 4: Simplify right side
    623.52x = 526,011.39
  5. Step 5: Solve for x
    x = 526,011.39/623.52
  6. Step 6: Final answer
    x = 843.62

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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.