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Finding the Fourth Proportional to 723.39, 998.88 and 458.30

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Solution

The fourth proportional to 723.39, 998.88 and 458.30 is: 632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.39 : 998.88 = 458.30 : x
  2. Step 2: Convert to fraction form
    723.39/998.88 = 458.30/x
  3. Step 3: Cross multiply
    723.39x = 998.88 × 458.30
  4. Step 4: Simplify right side
    723.39x = 457,786.70
  5. Step 5: Solve for x
    x = 457,786.70/723.39
  6. Step 6: Final answer
    x = 632.84

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1.5x scale

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.