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Finding the Fourth Proportional to 648.70, 973.08 and 283.32

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Solution

The fourth proportional to 648.70, 973.08 and 283.32 is: 424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.70 : 973.08 = 283.32 : x
  2. Step 2: Convert to fraction form
    648.70/973.08 = 283.32/x
  3. Step 3: Cross multiply
    648.70x = 973.08 × 283.32
  4. Step 4: Simplify right side
    648.70x = 275,693.03
  5. Step 5: Solve for x
    x = 275,693.03/648.70
  6. Step 6: Final answer
    x = 424.99

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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.