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Finding the Fourth Proportional to 719.95, 993.61 and 405.29

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Solution

The fourth proportional to 719.95, 993.61 and 405.29 is: 559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.95 : 993.61 = 405.29 : x
  2. Step 2: Convert to fraction form
    719.95/993.61 = 405.29/x
  3. Step 3: Cross multiply
    719.95x = 993.61 × 405.29
  4. Step 4: Simplify right side
    719.95x = 402,700.20
  5. Step 5: Solve for x
    x = 402,700.20/719.95
  6. Step 6: Final answer
    x = 559.35

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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.