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Finding the Fourth Proportional to 719.71, 993.65 and 457.88

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Solution

The fourth proportional to 719.71, 993.65 and 457.88 is: 632.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.71 : 993.65 = 457.88 : x
  2. Step 2: Convert to fraction form
    719.71/993.65 = 457.88/x
  3. Step 3: Cross multiply
    719.71x = 993.65 × 457.88
  4. Step 4: Simplify right side
    719.71x = 454,965.20
  5. Step 5: Solve for x
    x = 454,965.20/719.71
  6. Step 6: Final answer
    x = 632.15

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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.