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Finding the Fourth Proportional to 648.98, 973.56 and 238.32

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Solution

The fourth proportional to 648.98, 973.56 and 238.32 is: 357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.98 : 973.56 = 238.32 : x
  2. Step 2: Convert to fraction form
    648.98/973.56 = 238.32/x
  3. Step 3: Cross multiply
    648.98x = 973.56 × 238.32
  4. Step 4: Simplify right side
    648.98x = 232,018.82
  5. Step 5: Solve for x
    x = 232,018.82/648.98
  6. Step 6: Final answer
    x = 357.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.