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Finding the Fourth Proportional to 647.48, 971.08 and 282.08

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Solution

The fourth proportional to 647.48, 971.08 and 282.08 is: 423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.48 : 971.08 = 282.08 : x
  2. Step 2: Convert to fraction form
    647.48/971.08 = 282.08/x
  3. Step 3: Cross multiply
    647.48x = 971.08 × 282.08
  4. Step 4: Simplify right side
    647.48x = 273,922.25
  5. Step 5: Solve for x
    x = 273,922.25/647.48
  6. Step 6: Final answer
    x = 423.06

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