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Finding the Fourth Proportional to 708.31, 976.80 and 533.35

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Solution

The fourth proportional to 708.31, 976.80 and 533.35 is: 735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.31 : 976.80 = 533.35 : x
  2. Step 2: Convert to fraction form
    708.31/976.80 = 533.35/x
  3. Step 3: Cross multiply
    708.31x = 976.80 × 533.35
  4. Step 4: Simplify right side
    708.31x = 520,976.28
  5. Step 5: Solve for x
    x = 520,976.28/708.31
  6. Step 6: Final answer
    x = 735.52

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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.