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Finding the Fourth Proportional to 624.24, 940.95 and 586.08

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Solution

The fourth proportional to 624.24, 940.95 and 586.08 is: 883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.24 : 940.95 = 586.08 : x
  2. Step 2: Convert to fraction form
    624.24/940.95 = 586.08/x
  3. Step 3: Cross multiply
    624.24x = 940.95 × 586.08
  4. Step 4: Simplify right side
    624.24x = 551,471.98
  5. Step 5: Solve for x
    x = 551,471.98/624.24
  6. Step 6: Final answer
    x = 883.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.