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Finding the Fourth Proportional to 719.08, 991.62 and 457

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Solution

The fourth proportional to 719.08, 991.62 and 457 is: 630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.08 : 991.62 = 457 : x
  2. Step 2: Convert to fraction form
    719.08/991.62 = 457/x
  3. Step 3: Cross multiply
    719.08x = 991.62 × 457
  4. Step 4: Simplify right side
    719.08x = 453,170.34
  5. Step 5: Solve for x
    x = 453,170.34/719.08
  6. Step 6: Final answer
    x = 630.21

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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.