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Finding the Fourth Proportional to 647.64, 971.44 and 208.89

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Solution

The fourth proportional to 647.64, 971.44 and 208.89 is: 313.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.64 : 971.44 = 208.89 : x
  2. Step 2: Convert to fraction form
    647.64/971.44 = 208.89/x
  3. Step 3: Cross multiply
    647.64x = 971.44 × 208.89
  4. Step 4: Simplify right side
    647.64x = 202,918.20
  5. Step 5: Solve for x
    x = 202,918.20/647.64
  6. Step 6: Final answer
    x = 313.32

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1.5x scale

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.