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Finding the Fourth Proportional to 707.97, 977.00 and 393.24

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Solution

The fourth proportional to 707.97, 977.00 and 393.24 is: 542.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.97 : 977.00 = 393.24 : x
  2. Step 2: Convert to fraction form
    707.97/977.00 = 393.24/x
  3. Step 3: Cross multiply
    707.97x = 977.00 × 393.24
  4. Step 4: Simplify right side
    707.97x = 384,188.63
  5. Step 5: Solve for x
    x = 384,188.63/707.97
  6. Step 6: Final answer
    x = 542.67

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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.