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Finding the Fourth Proportional to 715.21, 986.30 and 466.75

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Solution

The fourth proportional to 715.21, 986.30 and 466.75 is: 643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.21 : 986.30 = 466.75 : x
  2. Step 2: Convert to fraction form
    715.21/986.30 = 466.75/x
  3. Step 3: Cross multiply
    715.21x = 986.30 × 466.75
  4. Step 4: Simplify right side
    715.21x = 460,348.26
  5. Step 5: Solve for x
    x = 460,348.26/715.21
  6. Step 6: Final answer
    x = 643.66

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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.