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Finding the Fourth Proportional to 646.09, 969.41 and 415.24

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Solution

The fourth proportional to 646.09, 969.41 and 415.24 is: 623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.09 : 969.41 = 415.24 : x
  2. Step 2: Convert to fraction form
    646.09/969.41 = 415.24/x
  3. Step 3: Cross multiply
    646.09x = 969.41 × 415.24
  4. Step 4: Simplify right side
    646.09x = 402,537.81
  5. Step 5: Solve for x
    x = 402,537.81/646.09
  6. Step 6: Final answer
    x = 623.04

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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.