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Finding the Fourth Proportional to 623.79, 933.81 and 415.35

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Solution

The fourth proportional to 623.79, 933.81 and 415.35 is: 621.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.79 : 933.81 = 415.35 : x
  2. Step 2: Convert to fraction form
    623.79/933.81 = 415.35/x
  3. Step 3: Cross multiply
    623.79x = 933.81 × 415.35
  4. Step 4: Simplify right side
    623.79x = 387,857.98
  5. Step 5: Solve for x
    x = 387,857.98/623.79
  6. Step 6: Final answer
    x = 621.78

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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.