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Finding the Fourth Proportional to 623.09, 857.66 and 539.87

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Solution

The fourth proportional to 623.09, 857.66 and 539.87 is: 743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.09 : 857.66 = 539.87 : x
  2. Step 2: Convert to fraction form
    623.09/857.66 = 539.87/x
  3. Step 3: Cross multiply
    623.09x = 857.66 × 539.87
  4. Step 4: Simplify right side
    623.09x = 463,017.92
  5. Step 5: Solve for x
    x = 463,017.92/623.09
  6. Step 6: Final answer
    x = 743.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.