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Finding the Fourth Proportional to 708.08, 977.54 and 472.34

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Solution

The fourth proportional to 708.08, 977.54 and 472.34 is: 652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.08 : 977.54 = 472.34 : x
  2. Step 2: Convert to fraction form
    708.08/977.54 = 472.34/x
  3. Step 3: Cross multiply
    708.08x = 977.54 × 472.34
  4. Step 4: Simplify right side
    708.08x = 461,731.33
  5. Step 5: Solve for x
    x = 461,731.33/708.08
  6. Step 6: Final answer
    x = 652.09

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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.