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Finding the Fourth Proportional to 715.56, 986.61 and 466.77

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Solution

The fourth proportional to 715.56, 986.61 and 466.77 is: 643.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.56 : 986.61 = 466.77 : x
  2. Step 2: Convert to fraction form
    715.56/986.61 = 466.77/x
  3. Step 3: Cross multiply
    715.56x = 986.61 × 466.77
  4. Step 4: Simplify right side
    715.56x = 460,519.95
  5. Step 5: Solve for x
    x = 460,519.95/715.56
  6. Step 6: Final answer
    x = 643.58

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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.