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Finding the Fourth Proportional to 708.47, 976.33 and 472.16

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Solution

The fourth proportional to 708.47, 976.33 and 472.16 is: 650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.47 : 976.33 = 472.16 : x
  2. Step 2: Convert to fraction form
    708.47/976.33 = 472.16/x
  3. Step 3: Cross multiply
    708.47x = 976.33 × 472.16
  4. Step 4: Simplify right side
    708.47x = 460,979.09
  5. Step 5: Solve for x
    x = 460,979.09/708.47
  6. Step 6: Final answer
    x = 650.67

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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.