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Finding the Fourth Proportional to 706.50, 974.40 and 457.83

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Solution

The fourth proportional to 706.50, 974.40 and 457.83 is: 631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.50 : 974.40 = 457.83 : x
  2. Step 2: Convert to fraction form
    706.50/974.40 = 457.83/x
  3. Step 3: Cross multiply
    706.50x = 974.40 × 457.83
  4. Step 4: Simplify right side
    706.50x = 446,109.55
  5. Step 5: Solve for x
    x = 446,109.55/706.50
  6. Step 6: Final answer
    x = 631.44

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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.