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Finding the Fourth Proportional to 623.36, 930.24 and 561.92

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Solution

The fourth proportional to 623.36, 930.24 and 561.92 is: 838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.36 : 930.24 = 561.92 : x
  2. Step 2: Convert to fraction form
    623.36/930.24 = 561.92/x
  3. Step 3: Cross multiply
    623.36x = 930.24 × 561.92
  4. Step 4: Simplify right side
    623.36x = 522,720.46
  5. Step 5: Solve for x
    x = 522,720.46/623.36
  6. Step 6: Final answer
    x = 838.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.