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Finding the Fourth Proportional to 706.64, 974.84 and 458.05

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Solution

The fourth proportional to 706.64, 974.84 and 458.05 is: 631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.64 : 974.84 = 458.05 : x
  2. Step 2: Convert to fraction form
    706.64/974.84 = 458.05/x
  3. Step 3: Cross multiply
    706.64x = 974.84 × 458.05
  4. Step 4: Simplify right side
    706.64x = 446,525.46
  5. Step 5: Solve for x
    x = 446,525.46/706.64
  6. Step 6: Final answer
    x = 631.90

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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.