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Finding the Fourth Proportional to 715.41, 986.61 and 466.64

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Solution

The fourth proportional to 715.41, 986.61 and 466.64 is: 643.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.41 : 986.61 = 466.64 : x
  2. Step 2: Convert to fraction form
    715.41/986.61 = 466.64/x
  3. Step 3: Cross multiply
    715.41x = 986.61 × 466.64
  4. Step 4: Simplify right side
    715.41x = 460,391.69
  5. Step 5: Solve for x
    x = 460,391.69/715.41
  6. Step 6: Final answer
    x = 643.54

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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.