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Finding the Fourth Proportional to 646.68, 968.66 and 415.07

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Solution

The fourth proportional to 646.68, 968.66 and 415.07 is: 621.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.68 : 968.66 = 415.07 : x
  2. Step 2: Convert to fraction form
    646.68/968.66 = 415.07/x
  3. Step 3: Cross multiply
    646.68x = 968.66 × 415.07
  4. Step 4: Simplify right side
    646.68x = 402,065.43
  5. Step 5: Solve for x
    x = 402,065.43/646.68
  6. Step 6: Final answer
    x = 621.73

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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.