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Finding the Fourth Proportional to 646.24, 891.93 and 424.75

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Solution

The fourth proportional to 646.24, 891.93 and 424.75 is: 586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.24 : 891.93 = 424.75 : x
  2. Step 2: Convert to fraction form
    646.24/891.93 = 424.75/x
  3. Step 3: Cross multiply
    646.24x = 891.93 × 424.75
  4. Step 4: Simplify right side
    646.24x = 378,847.27
  5. Step 5: Solve for x
    x = 378,847.27/646.24
  6. Step 6: Final answer
    x = 586.23

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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.