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Finding the Fourth Proportional to 647.84, 971.99 and 282.66

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Solution

The fourth proportional to 647.84, 971.99 and 282.66 is: 424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.84 : 971.99 = 282.66 : x
  2. Step 2: Convert to fraction form
    647.84/971.99 = 282.66/x
  3. Step 3: Cross multiply
    647.84x = 971.99 × 282.66
  4. Step 4: Simplify right side
    647.84x = 274,738.30
  5. Step 5: Solve for x
    x = 274,738.30/647.84
  6. Step 6: Final answer
    x = 424.08

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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.