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Finding the Fourth Proportional to 623.40, 862.44 and 546

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Solution

The fourth proportional to 623.40, 862.44 and 546 is: 755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.40 : 862.44 = 546 : x
  2. Step 2: Convert to fraction form
    623.40/862.44 = 546/x
  3. Step 3: Cross multiply
    623.40x = 862.44 × 546
  4. Step 4: Simplify right side
    623.40x = 470,892.24
  5. Step 5: Solve for x
    x = 470,892.24/623.40
  6. Step 6: Final answer
    x = 755.36

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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.