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Finding the Fourth Proportional to 693.50, 956.64 and 457.21

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Solution

The fourth proportional to 693.50, 956.64 and 457.21 is: 630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.50 : 956.64 = 457.21 : x
  2. Step 2: Convert to fraction form
    693.50/956.64 = 457.21/x
  3. Step 3: Cross multiply
    693.50x = 956.64 × 457.21
  4. Step 4: Simplify right side
    693.50x = 437,380.59
  5. Step 5: Solve for x
    x = 437,380.59/693.50
  6. Step 6: Final answer
    x = 630.69

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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.