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Finding the Fourth Proportional to 715.35, 986.85 and 466.89

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Solution

The fourth proportional to 715.35, 986.85 and 466.89 is: 644.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.35 : 986.85 = 466.89 : x
  2. Step 2: Convert to fraction form
    715.35/986.85 = 466.89/x
  3. Step 3: Cross multiply
    715.35x = 986.85 × 466.89
  4. Step 4: Simplify right side
    715.35x = 460,750.40
  5. Step 5: Solve for x
    x = 460,750.40/715.35
  6. Step 6: Final answer
    x = 644.09

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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.