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Finding the Fourth Proportional to 647.59, 971.22 and 300.59

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Solution

The fourth proportional to 647.59, 971.22 and 300.59 is: 450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.59 : 971.22 = 300.59 : x
  2. Step 2: Convert to fraction form
    647.59/971.22 = 300.59/x
  3. Step 3: Cross multiply
    647.59x = 971.22 × 300.59
  4. Step 4: Simplify right side
    647.59x = 291,934.16
  5. Step 5: Solve for x
    x = 291,934.16/647.59
  6. Step 6: Final answer
    x = 450.80

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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.