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Finding the Fourth Proportional to 706.68, 975.24 and 407.99

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Solution

The fourth proportional to 706.68, 975.24 and 407.99 is: 563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.68 : 975.24 = 407.99 : x
  2. Step 2: Convert to fraction form
    706.68/975.24 = 407.99/x
  3. Step 3: Cross multiply
    706.68x = 975.24 × 407.99
  4. Step 4: Simplify right side
    706.68x = 397,883.29
  5. Step 5: Solve for x
    x = 397,883.29/706.68
  6. Step 6: Final answer
    x = 563.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.